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Finding the Third Proportional to 54,527 and 77,325

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Solution

The third proportional to 54,527 and 77,325 is: 109,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527 : 77,325 = 77,325 : x
  2. Step 2: Convert to fraction form
    54,527/77,325 = 77,325/x
  3. Step 3: Cross multiply
    54,527x = 77,325 × 77,325
  4. Step 4: Simplify right side
    54,527x = 5,979,155,625
  5. Step 5: Solve for x
    x = 5,979,155,625/54,527
  6. Step 6: Final answer
    x = 109,654.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.