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Finding the Third Proportional to 127,227.38 and 191,129.63

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Solution

The third proportional to 127,227.38 and 191,129.63 is: 287,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,227.38 : 191,129.63 = 191,129.63 : x
  2. Step 2: Convert to fraction form
    127,227.38/191,129.63 = 191,129.63/x
  3. Step 3: Cross multiply
    127,227.38x = 191,129.63 × 191,129.63
  4. Step 4: Simplify right side
    127,227.38x = 36,530,533,552.64
  5. Step 5: Solve for x
    x = 36,530,533,552.64/127,227.38
  6. Step 6: Final answer
    x = 287,127.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.