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Finding the Third Proportional to 124,656 and 266,798

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Solution

The third proportional to 124,656 and 266,798 is: 571,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,656 : 266,798 = 266,798 : x
  2. Step 2: Convert to fraction form
    124,656/266,798 = 266,798/x
  3. Step 3: Cross multiply
    124,656x = 266,798 × 266,798
  4. Step 4: Simplify right side
    124,656x = 71,181,172,804
  5. Step 5: Solve for x
    x = 71,181,172,804/124,656
  6. Step 6: Final answer
    x = 571,020.83

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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.