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Finding the Third Proportional to 54,073 and 72,330.75

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Solution

The third proportional to 54,073 and 72,330.75 is: 96,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,073 : 72,330.75 = 72,330.75 : x
  2. Step 2: Convert to fraction form
    54,073/72,330.75 = 72,330.75/x
  3. Step 3: Cross multiply
    54,073x = 72,330.75 × 72,330.75
  4. Step 4: Simplify right side
    54,073x = 5,231,737,395.56
  5. Step 5: Solve for x
    x = 5,231,737,395.56/54,073
  6. Step 6: Final answer
    x = 96,753.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.