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Finding the Third Proportional to 62,372.50 and 97,731.50

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Solution

The third proportional to 62,372.50 and 97,731.50 is: 153,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,372.50 : 97,731.50 = 97,731.50 : x
  2. Step 2: Convert to fraction form
    62,372.50/97,731.50 = 97,731.50/x
  3. Step 3: Cross multiply
    62,372.50x = 97,731.50 × 97,731.50
  4. Step 4: Simplify right side
    62,372.50x = 9,551,446,092.25
  5. Step 5: Solve for x
    x = 9,551,446,092.25/62,372.50
  6. Step 6: Final answer
    x = 153,135.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.