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Finding the Third Proportional to 125,042 and 266,484

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Solution

The third proportional to 125,042 and 266,484 is: 567,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,042 : 266,484 = 266,484 : x
  2. Step 2: Convert to fraction form
    125,042/266,484 = 266,484/x
  3. Step 3: Cross multiply
    125,042x = 266,484 × 266,484
  4. Step 4: Simplify right side
    125,042x = 71,013,722,256
  5. Step 5: Solve for x
    x = 71,013,722,256/125,042
  6. Step 6: Final answer
    x = 567,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.