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Finding the Third Proportional to 124,533.38 and 192,304.69

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Solution

The third proportional to 124,533.38 and 192,304.69 is: 296,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,533.38 : 192,304.69 = 192,304.69 : x
  2. Step 2: Convert to fraction form
    124,533.38/192,304.69 = 192,304.69/x
  3. Step 3: Cross multiply
    124,533.38x = 192,304.69 × 192,304.69
  4. Step 4: Simplify right side
    124,533.38x = 36,981,092,834.47
  5. Step 5: Solve for x
    x = 36,981,092,834.47/124,533.38
  6. Step 6: Final answer
    x = 296,957.28

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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.