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Finding the Third Proportional to 63,904 and 98,084

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Solution

The third proportional to 63,904 and 98,084 is: 150,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904 : 98,084 = 98,084 : x
  2. Step 2: Convert to fraction form
    63,904/98,084 = 98,084/x
  3. Step 3: Cross multiply
    63,904x = 98,084 × 98,084
  4. Step 4: Simplify right side
    63,904x = 9,620,471,056
  5. Step 5: Solve for x
    x = 9,620,471,056/63,904
  6. Step 6: Final answer
    x = 150,545.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.