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Finding the Third Proportional to 127,101 and 271,650

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Solution

The third proportional to 127,101 and 271,650 is: 580,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,101 : 271,650 = 271,650 : x
  2. Step 2: Convert to fraction form
    127,101/271,650 = 271,650/x
  3. Step 3: Cross multiply
    127,101x = 271,650 × 271,650
  4. Step 4: Simplify right side
    127,101x = 73,793,722,500
  5. Step 5: Solve for x
    x = 73,793,722,500/127,101
  6. Step 6: Final answer
    x = 580,591.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.