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Finding the Third Proportional to 63,264 and 94,863

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Solution

The third proportional to 63,264 and 94,863 is: 142,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,264 : 94,863 = 94,863 : x
  2. Step 2: Convert to fraction form
    63,264/94,863 = 94,863/x
  3. Step 3: Cross multiply
    63,264x = 94,863 × 94,863
  4. Step 4: Simplify right side
    63,264x = 8,998,988,769
  5. Step 5: Solve for x
    x = 8,998,988,769/63,264
  6. Step 6: Final answer
    x = 142,245.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.