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Finding the Third Proportional to 54,737.25 and 82,497.38

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Solution

The third proportional to 54,737.25 and 82,497.38 is: 124,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,737.25 : 82,497.38 = 82,497.38 : x
  2. Step 2: Convert to fraction form
    54,737.25/82,497.38 = 82,497.38/x
  3. Step 3: Cross multiply
    54,737.25x = 82,497.38 × 82,497.38
  4. Step 4: Simplify right side
    54,737.25x = 6,805,816,881.89
  5. Step 5: Solve for x
    x = 6,805,816,881.89/54,737.25
  6. Step 6: Final answer
    x = 124,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.