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Finding the Third Proportional to 63,261 and 100,809

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Solution

The third proportional to 63,261 and 100,809 is: 160,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,261 : 100,809 = 100,809 : x
  2. Step 2: Convert to fraction form
    63,261/100,809 = 100,809/x
  3. Step 3: Cross multiply
    63,261x = 100,809 × 100,809
  4. Step 4: Simplify right side
    63,261x = 10,162,454,481
  5. Step 5: Solve for x
    x = 10,162,454,481/63,261
  6. Step 6: Final answer
    x = 160,643.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.