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Finding the Third Proportional to 81,192.38 and 127,544.63

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Solution

The third proportional to 81,192.38 and 127,544.63 is: 200,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,192.38 : 127,544.63 = 127,544.63 : x
  2. Step 2: Convert to fraction form
    81,192.38/127,544.63 = 127,544.63/x
  3. Step 3: Cross multiply
    81,192.38x = 127,544.63 × 127,544.63
  4. Step 4: Simplify right side
    81,192.38x = 16,267,631,366.39
  5. Step 5: Solve for x
    x = 16,267,631,366.39/81,192.38
  6. Step 6: Final answer
    x = 200,359.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.