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Finding the Third Proportional to 53,762 and 83,587

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Solution

The third proportional to 53,762 and 83,587 is: 129,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,762 : 83,587 = 83,587 : x
  2. Step 2: Convert to fraction form
    53,762/83,587 = 83,587/x
  3. Step 3: Cross multiply
    53,762x = 83,587 × 83,587
  4. Step 4: Simplify right side
    53,762x = 6,986,786,569
  5. Step 5: Solve for x
    x = 6,986,786,569/53,762
  6. Step 6: Final answer
    x = 129,957.71

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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.