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Finding the Third Proportional to 63,981 and 148,738.50

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Solution

The third proportional to 63,981 and 148,738.50 is: 345,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981 : 148,738.50 = 148,738.50 : x
  2. Step 2: Convert to fraction form
    63,981/148,738.50 = 148,738.50/x
  3. Step 3: Cross multiply
    63,981x = 148,738.50 × 148,738.50
  4. Step 4: Simplify right side
    63,981x = 22,123,141,382.25
  5. Step 5: Solve for x
    x = 22,123,141,382.25/63,981
  6. Step 6: Final answer
    x = 345,776.74

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.