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Finding the Third Proportional to 127,650 and 271,441.50

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Solution

The third proportional to 127,650 and 271,441.50 is: 577,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,650 : 271,441.50 = 271,441.50 : x
  2. Step 2: Convert to fraction form
    127,650/271,441.50 = 271,441.50/x
  3. Step 3: Cross multiply
    127,650x = 271,441.50 × 271,441.50
  4. Step 4: Simplify right side
    127,650x = 73,680,487,922.25
  5. Step 5: Solve for x
    x = 73,680,487,922.25/127,650
  6. Step 6: Final answer
    x = 577,207.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.