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Finding the Third Proportional to 81,420.19 and 127,342.13

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Solution

The third proportional to 81,420.19 and 127,342.13 is: 199,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420.19 : 127,342.13 = 127,342.13 : x
  2. Step 2: Convert to fraction form
    81,420.19/127,342.13 = 127,342.13/x
  3. Step 3: Cross multiply
    81,420.19x = 127,342.13 × 127,342.13
  4. Step 4: Simplify right side
    81,420.19x = 16,216,016,799.52
  5. Step 5: Solve for x
    x = 16,216,016,799.52/81,420.19
  6. Step 6: Final answer
    x = 199,164.57

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.