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Finding the Third Proportional to 62,677.50 and 97,098

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Solution

The third proportional to 62,677.50 and 97,098 is: 150,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,677.50 : 97,098 = 97,098 : x
  2. Step 2: Convert to fraction form
    62,677.50/97,098 = 97,098/x
  3. Step 3: Cross multiply
    62,677.50x = 97,098 × 97,098
  4. Step 4: Simplify right side
    62,677.50x = 9,428,021,604
  5. Step 5: Solve for x
    x = 9,428,021,604/62,677.50
  6. Step 6: Final answer
    x = 150,421.15

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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.