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Finding the Third Proportional to 54,644 and 82,468

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Solution

The third proportional to 54,644 and 82,468 is: 124,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,644 : 82,468 = 82,468 : x
  2. Step 2: Convert to fraction form
    54,644/82,468 = 82,468/x
  3. Step 3: Cross multiply
    54,644x = 82,468 × 82,468
  4. Step 4: Simplify right side
    54,644x = 6,800,971,024
  5. Step 5: Solve for x
    x = 6,800,971,024/54,644
  6. Step 6: Final answer
    x = 124,459.61

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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.