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Finding the Third Proportional to 125,442 and 268,056

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Solution

The third proportional to 125,442 and 268,056 is: 572,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,442 : 268,056 = 268,056 : x
  2. Step 2: Convert to fraction form
    125,442/268,056 = 268,056/x
  3. Step 3: Cross multiply
    125,442x = 268,056 × 268,056
  4. Step 4: Simplify right side
    125,442x = 71,854,019,136
  5. Step 5: Solve for x
    x = 71,854,019,136/125,442
  6. Step 6: Final answer
    x = 572,806.71

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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.