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Finding the Third Proportional to 69,624 and 97,737

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Solution

The third proportional to 69,624 and 97,737 is: 137,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,624 : 97,737 = 97,737 : x
  2. Step 2: Convert to fraction form
    69,624/97,737 = 97,737/x
  3. Step 3: Cross multiply
    69,624x = 97,737 × 97,737
  4. Step 4: Simplify right side
    69,624x = 9,552,521,169
  5. Step 5: Solve for x
    x = 9,552,521,169/69,624
  6. Step 6: Final answer
    x = 137,201.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.