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Finding the Third Proportional to 125,608 and 261,440

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Solution

The third proportional to 125,608 and 261,440 is: 544,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,608 : 261,440 = 261,440 : x
  2. Step 2: Convert to fraction form
    125,608/261,440 = 261,440/x
  3. Step 3: Cross multiply
    125,608x = 261,440 × 261,440
  4. Step 4: Simplify right side
    125,608x = 68,350,873,600
  5. Step 5: Solve for x
    x = 68,350,873,600/125,608
  6. Step 6: Final answer
    x = 544,160.19

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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.