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Finding the Third Proportional to 63,677 and 98,189

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Solution

The third proportional to 63,677 and 98,189 is: 151,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,677 : 98,189 = 98,189 : x
  2. Step 2: Convert to fraction form
    63,677/98,189 = 98,189/x
  3. Step 3: Cross multiply
    63,677x = 98,189 × 98,189
  4. Step 4: Simplify right side
    63,677x = 9,641,079,721
  5. Step 5: Solve for x
    x = 9,641,079,721/63,677
  6. Step 6: Final answer
    x = 151,406.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.