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Finding the Third Proportional to 59,446 and 92,809

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Solution

The third proportional to 59,446 and 92,809 is: 144,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,446 : 92,809 = 92,809 : x
  2. Step 2: Convert to fraction form
    59,446/92,809 = 92,809/x
  3. Step 3: Cross multiply
    59,446x = 92,809 × 92,809
  4. Step 4: Simplify right side
    59,446x = 8,613,510,481
  5. Step 5: Solve for x
    x = 8,613,510,481/59,446
  6. Step 6: Final answer
    x = 144,896.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.