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Finding the Third Proportional to 65,822 and 98,781

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Solution

The third proportional to 65,822 and 98,781 is: 148,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,822 : 98,781 = 98,781 : x
  2. Step 2: Convert to fraction form
    65,822/98,781 = 98,781/x
  3. Step 3: Cross multiply
    65,822x = 98,781 × 98,781
  4. Step 4: Simplify right side
    65,822x = 9,757,685,961
  5. Step 5: Solve for x
    x = 9,757,685,961/65,822
  6. Step 6: Final answer
    x = 148,243.54

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Why These Related Problems?

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