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Finding the Third Proportional to 64,171 and 98,762

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Solution

The third proportional to 64,171 and 98,762 is: 151,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,171 : 98,762 = 98,762 : x
  2. Step 2: Convert to fraction form
    64,171/98,762 = 98,762/x
  3. Step 3: Cross multiply
    64,171x = 98,762 × 98,762
  4. Step 4: Simplify right side
    64,171x = 9,753,932,644
  5. Step 5: Solve for x
    x = 9,753,932,644/64,171
  6. Step 6: Final answer
    x = 151,999.08

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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.