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Finding the Third Proportional to 127,546.31 and 199,073.53

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Solution

The third proportional to 127,546.31 and 199,073.53 is: 310,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,546.31 : 199,073.53 = 199,073.53 : x
  2. Step 2: Convert to fraction form
    127,546.31/199,073.53 = 199,073.53/x
  3. Step 3: Cross multiply
    127,546.31x = 199,073.53 × 199,073.53
  4. Step 4: Simplify right side
    127,546.31x = 39,630,270,844.34
  5. Step 5: Solve for x
    x = 39,630,270,844.34/127,546.31
  6. Step 6: Final answer
    x = 310,712.79

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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.