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Finding the Third Proportional to 127,337.06 and 172,320.75

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Solution

The third proportional to 127,337.06 and 172,320.75 is: 233,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,337.06 : 172,320.75 = 172,320.75 : x
  2. Step 2: Convert to fraction form
    127,337.06/172,320.75 = 172,320.75/x
  3. Step 3: Cross multiply
    127,337.06x = 172,320.75 × 172,320.75
  4. Step 4: Simplify right side
    127,337.06x = 29,694,440,880.56
  5. Step 5: Solve for x
    x = 29,694,440,880.56/127,337.06
  6. Step 6: Final answer
    x = 233,195.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.