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Finding the Third Proportional to 65,541 and 98,635

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Solution

The third proportional to 65,541 and 98,635 is: 148,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,541 : 98,635 = 98,635 : x
  2. Step 2: Convert to fraction form
    65,541/98,635 = 98,635/x
  3. Step 3: Cross multiply
    65,541x = 98,635 × 98,635
  4. Step 4: Simplify right side
    65,541x = 9,728,863,225
  5. Step 5: Solve for x
    x = 9,728,863,225/65,541
  6. Step 6: Final answer
    x = 148,439.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.