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Finding the Third Proportional to 62,999 and 97,475

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Solution

The third proportional to 62,999 and 97,475 is: 150,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,999 : 97,475 = 97,475 : x
  2. Step 2: Convert to fraction form
    62,999/97,475 = 97,475/x
  3. Step 3: Cross multiply
    62,999x = 97,475 × 97,475
  4. Step 4: Simplify right side
    62,999x = 9,501,375,625
  5. Step 5: Solve for x
    x = 9,501,375,625/62,999
  6. Step 6: Final answer
    x = 150,817.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.