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Finding the Third Proportional to 125,220 and 271,671

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Solution

The third proportional to 125,220 and 271,671 is: 589,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,220 : 271,671 = 271,671 : x
  2. Step 2: Convert to fraction form
    125,220/271,671 = 271,671/x
  3. Step 3: Cross multiply
    125,220x = 271,671 × 271,671
  4. Step 4: Simplify right side
    125,220x = 73,805,132,241
  5. Step 5: Solve for x
    x = 73,805,132,241/125,220
  6. Step 6: Final answer
    x = 589,403.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.