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Finding the Third Proportional to 137,856.94 and 195,151.78

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Solution

The third proportional to 137,856.94 and 195,151.78 is: 276,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,856.94 : 195,151.78 = 195,151.78 : x
  2. Step 2: Convert to fraction form
    137,856.94/195,151.78 = 195,151.78/x
  3. Step 3: Cross multiply
    137,856.94x = 195,151.78 × 195,151.78
  4. Step 4: Simplify right side
    137,856.94x = 38,084,217,725.05
  5. Step 5: Solve for x
    x = 38,084,217,725.05/137,856.94
  6. Step 6: Final answer
    x = 276,258.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.