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Finding the Third Proportional to 75,997.50 and 116,984.25

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Solution

The third proportional to 75,997.50 and 116,984.25 is: 180,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,997.50 : 116,984.25 = 116,984.25 : x
  2. Step 2: Convert to fraction form
    75,997.50/116,984.25 = 116,984.25/x
  3. Step 3: Cross multiply
    75,997.50x = 116,984.25 × 116,984.25
  4. Step 4: Simplify right side
    75,997.50x = 13,685,314,748.06
  5. Step 5: Solve for x
    x = 13,685,314,748.06/75,997.50
  6. Step 6: Final answer
    x = 180,075.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.