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Finding the Third Proportional to 125,340 and 261,008

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Solution

The third proportional to 125,340 and 261,008 is: 543,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,340 : 261,008 = 261,008 : x
  2. Step 2: Convert to fraction form
    125,340/261,008 = 261,008/x
  3. Step 3: Cross multiply
    125,340x = 261,008 × 261,008
  4. Step 4: Simplify right side
    125,340x = 68,125,176,064
  5. Step 5: Solve for x
    x = 68,125,176,064/125,340
  6. Step 6: Final answer
    x = 543,523.03

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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.