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Finding the Third Proportional to 65,198 and 98,712

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Solution

The third proportional to 65,198 and 98,712 is: 149,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198 : 98,712 = 98,712 : x
  2. Step 2: Convert to fraction form
    65,198/98,712 = 98,712/x
  3. Step 3: Cross multiply
    65,198x = 98,712 × 98,712
  4. Step 4: Simplify right side
    65,198x = 9,744,058,944
  5. Step 5: Solve for x
    x = 9,744,058,944/65,198
  6. Step 6: Final answer
    x = 149,453.34

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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.