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Finding the Third Proportional to 125,568 and 261,360

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Solution

The third proportional to 125,568 and 261,360 is: 544,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,568 : 261,360 = 261,360 : x
  2. Step 2: Convert to fraction form
    125,568/261,360 = 261,360/x
  3. Step 3: Cross multiply
    125,568x = 261,360 × 261,360
  4. Step 4: Simplify right side
    125,568x = 68,309,049,600
  5. Step 5: Solve for x
    x = 68,309,049,600/125,568
  6. Step 6: Final answer
    x = 544,000.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.