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Finding the Third Proportional to 124,704 and 266,916

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Solution

The third proportional to 124,704 and 266,916 is: 571,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,704 : 266,916 = 266,916 : x
  2. Step 2: Convert to fraction form
    124,704/266,916 = 266,916/x
  3. Step 3: Cross multiply
    124,704x = 266,916 × 266,916
  4. Step 4: Simplify right side
    124,704x = 71,244,151,056
  5. Step 5: Solve for x
    x = 71,244,151,056/124,704
  6. Step 6: Final answer
    x = 571,306.06

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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.