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Finding the Third Proportional to 71,301 and 99,689

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Solution

The third proportional to 71,301 and 99,689 is: 139,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301 : 99,689 = 99,689 : x
  2. Step 2: Convert to fraction form
    71,301/99,689 = 99,689/x
  3. Step 3: Cross multiply
    71,301x = 99,689 × 99,689
  4. Step 4: Simplify right side
    71,301x = 9,937,896,721
  5. Step 5: Solve for x
    x = 9,937,896,721/71,301
  6. Step 6: Final answer
    x = 139,379.49

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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.