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Finding the Third Proportional to 124,522 and 266,540

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Solution

The third proportional to 124,522 and 266,540 is: 570,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,522 : 266,540 = 266,540 : x
  2. Step 2: Convert to fraction form
    124,522/266,540 = 266,540/x
  3. Step 3: Cross multiply
    124,522x = 266,540 × 266,540
  4. Step 4: Simplify right side
    124,522x = 71,043,571,600
  5. Step 5: Solve for x
    x = 71,043,571,600/124,522
  6. Step 6: Final answer
    x = 570,530.28

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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.