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Finding the Third Proportional to 63,441 and 98,793

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Solution

The third proportional to 63,441 and 98,793 is: 153,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,441 : 98,793 = 98,793 : x
  2. Step 2: Convert to fraction form
    63,441/98,793 = 98,793/x
  3. Step 3: Cross multiply
    63,441x = 98,793 × 98,793
  4. Step 4: Simplify right side
    63,441x = 9,760,056,849
  5. Step 5: Solve for x
    x = 9,760,056,849/63,441
  6. Step 6: Final answer
    x = 153,844.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.