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Finding the Third Proportional to 65,533 and 98,843

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Solution

The third proportional to 65,533 and 98,843 is: 149,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,533 : 98,843 = 98,843 : x
  2. Step 2: Convert to fraction form
    65,533/98,843 = 98,843/x
  3. Step 3: Cross multiply
    65,533x = 98,843 × 98,843
  4. Step 4: Simplify right side
    65,533x = 9,769,938,649
  5. Step 5: Solve for x
    x = 9,769,938,649/65,533
  6. Step 6: Final answer
    x = 149,084.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.