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Finding the Third Proportional to 65,250 and 98,042

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Solution

The third proportional to 65,250 and 98,042 is: 147,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,250 : 98,042 = 98,042 : x
  2. Step 2: Convert to fraction form
    65,250/98,042 = 98,042/x
  3. Step 3: Cross multiply
    65,250x = 98,042 × 98,042
  4. Step 4: Simplify right side
    65,250x = 9,612,233,764
  5. Step 5: Solve for x
    x = 9,612,233,764/65,250
  6. Step 6: Final answer
    x = 147,313.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.