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Finding the Third Proportional to 127,799.25 and 193,489.13

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Solution

The third proportional to 127,799.25 and 193,489.13 is: 292,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,799.25 : 193,489.13 = 193,489.13 : x
  2. Step 2: Convert to fraction form
    127,799.25/193,489.13 = 193,489.13/x
  3. Step 3: Cross multiply
    127,799.25x = 193,489.13 × 193,489.13
  4. Step 4: Simplify right side
    127,799.25x = 37,438,041,493.27
  5. Step 5: Solve for x
    x = 37,438,041,493.27/127,799.25
  6. Step 6: Final answer
    x = 292,944.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.