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Finding the Third Proportional to 74,531.25 and 111,502.13

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Solution

The third proportional to 74,531.25 and 111,502.13 is: 166,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,531.25 : 111,502.13 = 111,502.13 : x
  2. Step 2: Convert to fraction form
    74,531.25/111,502.13 = 111,502.13/x
  3. Step 3: Cross multiply
    74,531.25x = 111,502.13 × 111,502.13
  4. Step 4: Simplify right side
    74,531.25x = 12,432,723,879.52
  5. Step 5: Solve for x
    x = 12,432,723,879.52/74,531.25
  6. Step 6: Final answer
    x = 166,812.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.