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Finding the Third Proportional to 123,514 and 266,612

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Solution

The third proportional to 123,514 and 266,612 is: 575,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,514 : 266,612 = 266,612 : x
  2. Step 2: Convert to fraction form
    123,514/266,612 = 266,612/x
  3. Step 3: Cross multiply
    123,514x = 266,612 × 266,612
  4. Step 4: Simplify right side
    123,514x = 71,081,958,544
  5. Step 5: Solve for x
    x = 71,081,958,544/123,514
  6. Step 6: Final answer
    x = 575,497.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.