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Finding the Third Proportional to 97,525 and 145,647.50

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Solution

The third proportional to 97,525 and 145,647.50 is: 217,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,525 : 145,647.50 = 145,647.50 : x
  2. Step 2: Convert to fraction form
    97,525/145,647.50 = 145,647.50/x
  3. Step 3: Cross multiply
    97,525x = 145,647.50 × 145,647.50
  4. Step 4: Simplify right side
    97,525x = 21,213,194,256.25
  5. Step 5: Solve for x
    x = 21,213,194,256.25/97,525
  6. Step 6: Final answer
    x = 217,515.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.