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Finding the Third Proportional to 124,432.73 and 192,149.72

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Solution

The third proportional to 124,432.73 and 192,149.72 is: 296,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,432.73 : 192,149.72 = 192,149.72 : x
  2. Step 2: Convert to fraction form
    124,432.73/192,149.72 = 192,149.72/x
  3. Step 3: Cross multiply
    124,432.73x = 192,149.72 × 192,149.72
  4. Step 4: Simplify right side
    124,432.73x = 36,921,514,415.70
  5. Step 5: Solve for x
    x = 36,921,514,415.70/124,432.73
  6. Step 6: Final answer
    x = 296,718.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.