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Finding the Third Proportional to 125,147 and 268,101

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Solution

The third proportional to 125,147 and 268,101 is: 574,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,147 : 268,101 = 268,101 : x
  2. Step 2: Convert to fraction form
    125,147/268,101 = 268,101/x
  3. Step 3: Cross multiply
    125,147x = 268,101 × 268,101
  4. Step 4: Simplify right side
    125,147x = 71,878,146,201
  5. Step 5: Solve for x
    x = 71,878,146,201/125,147
  6. Step 6: Final answer
    x = 574,349.73

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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.