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Finding the Third Proportional to 52,531.50 and 116,727

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Solution

The third proportional to 52,531.50 and 116,727 is: 259,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,531.50 : 116,727 = 116,727 : x
  2. Step 2: Convert to fraction form
    52,531.50/116,727 = 116,727/x
  3. Step 3: Cross multiply
    52,531.50x = 116,727 × 116,727
  4. Step 4: Simplify right side
    52,531.50x = 13,625,192,529
  5. Step 5: Solve for x
    x = 13,625,192,529/52,531.50
  6. Step 6: Final answer
    x = 259,371.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.