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Finding the Third Proportional to 65,098 and 98,740

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Solution

The third proportional to 65,098 and 98,740 is: 149,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,098 : 98,740 = 98,740 : x
  2. Step 2: Convert to fraction form
    65,098/98,740 = 98,740/x
  3. Step 3: Cross multiply
    65,098x = 98,740 × 98,740
  4. Step 4: Simplify right side
    65,098x = 9,749,587,600
  5. Step 5: Solve for x
    x = 9,749,587,600/65,098
  6. Step 6: Final answer
    x = 149,767.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.