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Finding the Third Proportional to 125,668 and 260,084

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Solution

The third proportional to 125,668 and 260,084 is: 538,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,668 : 260,084 = 260,084 : x
  2. Step 2: Convert to fraction form
    125,668/260,084 = 260,084/x
  3. Step 3: Cross multiply
    125,668x = 260,084 × 260,084
  4. Step 4: Simplify right side
    125,668x = 67,643,687,056
  5. Step 5: Solve for x
    x = 67,643,687,056/125,668
  6. Step 6: Final answer
    x = 538,272.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.