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Finding the Third Proportional to 54,850 and 82,952

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Solution

The third proportional to 54,850 and 82,952 is: 125,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850 : 82,952 = 82,952 : x
  2. Step 2: Convert to fraction form
    54,850/82,952 = 82,952/x
  3. Step 3: Cross multiply
    54,850x = 82,952 × 82,952
  4. Step 4: Simplify right side
    54,850x = 6,881,034,304
  5. Step 5: Solve for x
    x = 6,881,034,304/54,850
  6. Step 6: Final answer
    x = 125,451.86

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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.