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Finding the Third Proportional to 64,361 and 98,456

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Solution

The third proportional to 64,361 and 98,456 is: 150,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,361 : 98,456 = 98,456 : x
  2. Step 2: Convert to fraction form
    64,361/98,456 = 98,456/x
  3. Step 3: Cross multiply
    64,361x = 98,456 × 98,456
  4. Step 4: Simplify right side
    64,361x = 9,693,583,936
  5. Step 5: Solve for x
    x = 9,693,583,936/64,361
  6. Step 6: Final answer
    x = 150,612.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.