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Finding the Third Proportional to 51,528 and 108,687

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Solution

The third proportional to 51,528 and 108,687 is: 229,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 108,687 = 108,687 : x
  2. Step 2: Convert to fraction form
    51,528/108,687 = 108,687/x
  3. Step 3: Cross multiply
    51,528x = 108,687 × 108,687
  4. Step 4: Simplify right side
    51,528x = 11,812,863,969
  5. Step 5: Solve for x
    x = 11,812,863,969/51,528
  6. Step 6: Final answer
    x = 229,251.36

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.