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Finding the Third Proportional to 54,656 and 82,486

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Solution

The third proportional to 54,656 and 82,486 is: 124,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656 : 82,486 = 82,486 : x
  2. Step 2: Convert to fraction form
    54,656/82,486 = 82,486/x
  3. Step 3: Cross multiply
    54,656x = 82,486 × 82,486
  4. Step 4: Simplify right side
    54,656x = 6,803,940,196
  5. Step 5: Solve for x
    x = 6,803,940,196/54,656
  6. Step 6: Final answer
    x = 124,486.61

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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.