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Finding the Third Proportional to 125,093 and 266,593

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Solution

The third proportional to 125,093 and 266,593 is: 568,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,093 : 266,593 = 266,593 : x
  2. Step 2: Convert to fraction form
    125,093/266,593 = 266,593/x
  3. Step 3: Cross multiply
    125,093x = 266,593 × 266,593
  4. Step 4: Simplify right side
    125,093x = 71,071,827,649
  5. Step 5: Solve for x
    x = 71,071,827,649/125,093
  6. Step 6: Final answer
    x = 568,151.92

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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.