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Finding the Third Proportional to 65,494 and 98,624

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Solution

The third proportional to 65,494 and 98,624 is: 148,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494 : 98,624 = 98,624 : x
  2. Step 2: Convert to fraction form
    65,494/98,624 = 98,624/x
  3. Step 3: Cross multiply
    65,494x = 98,624 × 98,624
  4. Step 4: Simplify right side
    65,494x = 9,726,693,376
  5. Step 5: Solve for x
    x = 9,726,693,376/65,494
  6. Step 6: Final answer
    x = 148,512.74

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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.