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Finding the Third Proportional to 63,876 and 98,046

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Solution

The third proportional to 63,876 and 98,046 is: 150,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,876 : 98,046 = 98,046 : x
  2. Step 2: Convert to fraction form
    63,876/98,046 = 98,046/x
  3. Step 3: Cross multiply
    63,876x = 98,046 × 98,046
  4. Step 4: Simplify right side
    63,876x = 9,613,018,116
  5. Step 5: Solve for x
    x = 9,613,018,116/63,876
  6. Step 6: Final answer
    x = 150,494.99

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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.