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Finding the Third Proportional to 98,264 and 155,832

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Solution

The third proportional to 98,264 and 155,832 is: 247,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,264 : 155,832 = 155,832 : x
  2. Step 2: Convert to fraction form
    98,264/155,832 = 155,832/x
  3. Step 3: Cross multiply
    98,264x = 155,832 × 155,832
  4. Step 4: Simplify right side
    98,264x = 24,283,612,224
  5. Step 5: Solve for x
    x = 24,283,612,224/98,264
  6. Step 6: Final answer
    x = 247,126.23

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Why These Related Problems?

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