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Finding the Third Proportional to 124,513 and 266,522

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Solution

The third proportional to 124,513 and 266,522 is: 570,494.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,513 : 266,522 = 266,522 : x
  2. Step 2: Convert to fraction form
    124,513/266,522 = 266,522/x
  3. Step 3: Cross multiply
    124,513x = 266,522 × 266,522
  4. Step 4: Simplify right side
    124,513x = 71,033,976,484
  5. Step 5: Solve for x
    x = 71,033,976,484/124,513
  6. Step 6: Final answer
    x = 570,494.46

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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.