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Finding the Third Proportional to 125,440 and 268,051

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Solution

The third proportional to 125,440 and 268,051 is: 572,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,440 : 268,051 = 268,051 : x
  2. Step 2: Convert to fraction form
    125,440/268,051 = 268,051/x
  3. Step 3: Cross multiply
    125,440x = 268,051 × 268,051
  4. Step 4: Simplify right side
    125,440x = 71,851,338,601
  5. Step 5: Solve for x
    x = 71,851,338,601/125,440
  6. Step 6: Final answer
    x = 572,794.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.