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Finding the Third Proportional to 124,596 and 268,862

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Solution

The third proportional to 124,596 and 268,862 is: 580,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,596 : 268,862 = 268,862 : x
  2. Step 2: Convert to fraction form
    124,596/268,862 = 268,862/x
  3. Step 3: Cross multiply
    124,596x = 268,862 × 268,862
  4. Step 4: Simplify right side
    124,596x = 72,286,775,044
  5. Step 5: Solve for x
    x = 72,286,775,044/124,596
  6. Step 6: Final answer
    x = 580,169.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.