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Finding the Third Proportional to 61,608 and 98,061

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Solution

The third proportional to 61,608 and 98,061 is: 156,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,608 : 98,061 = 98,061 : x
  2. Step 2: Convert to fraction form
    61,608/98,061 = 98,061/x
  3. Step 3: Cross multiply
    61,608x = 98,061 × 98,061
  4. Step 4: Simplify right side
    61,608x = 9,615,959,721
  5. Step 5: Solve for x
    x = 9,615,959,721/61,608
  6. Step 6: Final answer
    x = 156,082.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.