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Finding the Third Proportional to 63,422 and 98,159

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Solution

The third proportional to 63,422 and 98,159 is: 151,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,422 : 98,159 = 98,159 : x
  2. Step 2: Convert to fraction form
    63,422/98,159 = 98,159/x
  3. Step 3: Cross multiply
    63,422x = 98,159 × 98,159
  4. Step 4: Simplify right side
    63,422x = 9,635,189,281
  5. Step 5: Solve for x
    x = 9,635,189,281/63,422
  6. Step 6: Final answer
    x = 151,921.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.