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Finding the Third Proportional to 81,496.13 and 127,635.75

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Solution

The third proportional to 81,496.13 and 127,635.75 is: 199,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,496.13 : 127,635.75 = 127,635.75 : x
  2. Step 2: Convert to fraction form
    81,496.13/127,635.75 = 127,635.75/x
  3. Step 3: Cross multiply
    81,496.13x = 127,635.75 × 127,635.75
  4. Step 4: Simplify right side
    81,496.13x = 16,290,884,678.06
  5. Step 5: Solve for x
    x = 16,290,884,678.06/81,496.13
  6. Step 6: Final answer
    x = 199,897.66

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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.