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Finding the Third Proportional to 125,228 and 271,688

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Solution

The third proportional to 125,228 and 271,688 is: 589,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,228 : 271,688 = 271,688 : x
  2. Step 2: Convert to fraction form
    125,228/271,688 = 271,688/x
  3. Step 3: Cross multiply
    125,228x = 271,688 × 271,688
  4. Step 4: Simplify right side
    125,228x = 73,814,369,344
  5. Step 5: Solve for x
    x = 73,814,369,344/125,228
  6. Step 6: Final answer
    x = 589,439.82

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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.