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Finding the Third Proportional to 127,200.38 and 172,751.06

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Solution

The third proportional to 127,200.38 and 172,751.06 is: 234,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.38 : 172,751.06 = 172,751.06 : x
  2. Step 2: Convert to fraction form
    127,200.38/172,751.06 = 172,751.06/x
  3. Step 3: Cross multiply
    127,200.38x = 172,751.06 × 172,751.06
  4. Step 4: Simplify right side
    127,200.38x = 29,842,929,594.88
  5. Step 5: Solve for x
    x = 29,842,929,594.88/127,200.38
  6. Step 6: Final answer
    x = 234,613.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.