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Finding the Third Proportional to 53,508 and 81,687

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Solution

The third proportional to 53,508 and 81,687 is: 124,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,508 : 81,687 = 81,687 : x
  2. Step 2: Convert to fraction form
    53,508/81,687 = 81,687/x
  3. Step 3: Cross multiply
    53,508x = 81,687 × 81,687
  4. Step 4: Simplify right side
    53,508x = 6,672,765,969
  5. Step 5: Solve for x
    x = 6,672,765,969/53,508
  6. Step 6: Final answer
    x = 124,705.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.