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Finding the Third Proportional to 75,722.50 and 116,742.50

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Solution

The third proportional to 75,722.50 and 116,742.50 is: 179,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,722.50 : 116,742.50 = 116,742.50 : x
  2. Step 2: Convert to fraction form
    75,722.50/116,742.50 = 116,742.50/x
  3. Step 3: Cross multiply
    75,722.50x = 116,742.50 × 116,742.50
  4. Step 4: Simplify right side
    75,722.50x = 13,628,811,306.25
  5. Step 5: Solve for x
    x = 13,628,811,306.25/75,722.50
  6. Step 6: Final answer
    x = 179,983.64

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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.