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Finding the Third Proportional to 124,636 and 271,829

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Solution

The third proportional to 124,636 and 271,829 is: 592,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,636 : 271,829 = 271,829 : x
  2. Step 2: Convert to fraction form
    124,636/271,829 = 271,829/x
  3. Step 3: Cross multiply
    124,636x = 271,829 × 271,829
  4. Step 4: Simplify right side
    124,636x = 73,891,005,241
  5. Step 5: Solve for x
    x = 73,891,005,241/124,636
  6. Step 6: Final answer
    x = 592,854.43

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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.