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Finding the Third Proportional to 31,086.28 and 67,055.34

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Solution

The third proportional to 31,086.28 and 67,055.34 is: 144,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.28 : 67,055.34 = 67,055.34 : x
  2. Step 2: Convert to fraction form
    31,086.28/67,055.34 = 67,055.34/x
  3. Step 3: Cross multiply
    31,086.28x = 67,055.34 × 67,055.34
  4. Step 4: Simplify right side
    31,086.28x = 4,496,419,125.43
  5. Step 5: Solve for x
    x = 4,496,419,125.43/31,086.28
  6. Step 6: Final answer
    x = 144,643.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.