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Finding the Third Proportional to 63,948 and 100,315

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Solution

The third proportional to 63,948 and 100,315 is: 157,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,948 : 100,315 = 100,315 : x
  2. Step 2: Convert to fraction form
    63,948/100,315 = 100,315/x
  3. Step 3: Cross multiply
    63,948x = 100,315 × 100,315
  4. Step 4: Simplify right side
    63,948x = 10,063,099,225
  5. Step 5: Solve for x
    x = 10,063,099,225/63,948
  6. Step 6: Final answer
    x = 157,363.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.