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Finding the Third Proportional to 61,396 and 91,715

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Solution

The third proportional to 61,396 and 91,715 is: 137,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,396 : 91,715 = 91,715 : x
  2. Step 2: Convert to fraction form
    61,396/91,715 = 91,715/x
  3. Step 3: Cross multiply
    61,396x = 91,715 × 91,715
  4. Step 4: Simplify right side
    61,396x = 8,411,641,225
  5. Step 5: Solve for x
    x = 8,411,641,225/61,396
  6. Step 6: Final answer
    x = 137,006.34

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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.