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Finding the Third Proportional to 64,982 and 98,181

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Solution

The third proportional to 64,982 and 98,181 is: 148,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982 : 98,181 = 98,181 : x
  2. Step 2: Convert to fraction form
    64,982/98,181 = 98,181/x
  3. Step 3: Cross multiply
    64,982x = 98,181 × 98,181
  4. Step 4: Simplify right side
    64,982x = 9,639,508,761
  5. Step 5: Solve for x
    x = 9,639,508,761/64,982
  6. Step 6: Final answer
    x = 148,341.21

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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.