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Finding the Third Proportional to 124,629 and 271,814

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Solution

The third proportional to 124,629 and 271,814 is: 592,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,629 : 271,814 = 271,814 : x
  2. Step 2: Convert to fraction form
    124,629/271,814 = 271,814/x
  3. Step 3: Cross multiply
    124,629x = 271,814 × 271,814
  4. Step 4: Simplify right side
    124,629x = 73,882,850,596
  5. Step 5: Solve for x
    x = 73,882,850,596/124,629
  6. Step 6: Final answer
    x = 592,822.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.