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Finding the Third Proportional to 60,869 and 125,482

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Solution

The third proportional to 60,869 and 125,482 is: 258,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,869 : 125,482 = 125,482 : x
  2. Step 2: Convert to fraction form
    60,869/125,482 = 125,482/x
  3. Step 3: Cross multiply
    60,869x = 125,482 × 125,482
  4. Step 4: Simplify right side
    60,869x = 15,745,732,324
  5. Step 5: Solve for x
    x = 15,745,732,324/60,869
  6. Step 6: Final answer
    x = 258,682.29

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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.