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Finding the Third Proportional to 51,355.69 and 81,488.53

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Solution

The third proportional to 51,355.69 and 81,488.53 is: 129,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,355.69 : 81,488.53 = 81,488.53 : x
  2. Step 2: Convert to fraction form
    51,355.69/81,488.53 = 81,488.53/x
  3. Step 3: Cross multiply
    51,355.69x = 81,488.53 × 81,488.53
  4. Step 4: Simplify right side
    51,355.69x = 6,640,380,725.28
  5. Step 5: Solve for x
    x = 6,640,380,725.28/51,355.69
  6. Step 6: Final answer
    x = 129,301.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.