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Finding the Third Proportional to 124,491 and 266,732

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Solution

The third proportional to 124,491 and 266,732 is: 571,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,491 : 266,732 = 266,732 : x
  2. Step 2: Convert to fraction form
    124,491/266,732 = 266,732/x
  3. Step 3: Cross multiply
    124,491x = 266,732 × 266,732
  4. Step 4: Simplify right side
    124,491x = 71,145,959,824
  5. Step 5: Solve for x
    x = 71,145,959,824/124,491
  6. Step 6: Final answer
    x = 571,494.81

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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.