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Finding the Third Proportional to 81,113.94 and 125,921.06

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Solution

The third proportional to 81,113.94 and 125,921.06 is: 195,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,113.94 : 125,921.06 = 125,921.06 : x
  2. Step 2: Convert to fraction form
    81,113.94/125,921.06 = 125,921.06/x
  3. Step 3: Cross multiply
    81,113.94x = 125,921.06 × 125,921.06
  4. Step 4: Simplify right side
    81,113.94x = 15,856,113,981.13
  5. Step 5: Solve for x
    x = 15,856,113,981.13/81,113.94
  6. Step 6: Final answer
    x = 195,479.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.