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Finding the Third Proportional to 54,078 and 72,337

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Solution

The third proportional to 54,078 and 72,337 is: 96,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,078 : 72,337 = 72,337 : x
  2. Step 2: Convert to fraction form
    54,078/72,337 = 72,337/x
  3. Step 3: Cross multiply
    54,078x = 72,337 × 72,337
  4. Step 4: Simplify right side
    54,078x = 5,232,641,569
  5. Step 5: Solve for x
    x = 5,232,641,569/54,078
  6. Step 6: Final answer
    x = 96,761.00

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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.