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Finding the Third Proportional to 60,872 and 125,486

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Solution

The third proportional to 60,872 and 125,486 is: 258,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,872 : 125,486 = 125,486 : x
  2. Step 2: Convert to fraction form
    60,872/125,486 = 125,486/x
  3. Step 3: Cross multiply
    60,872x = 125,486 × 125,486
  4. Step 4: Simplify right side
    60,872x = 15,746,736,196
  5. Step 5: Solve for x
    x = 15,746,736,196/60,872
  6. Step 6: Final answer
    x = 258,686.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.