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Finding the Third Proportional to 65,496 and 100,124

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Solution

The third proportional to 65,496 and 100,124 is: 153,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,496 : 100,124 = 100,124 : x
  2. Step 2: Convert to fraction form
    65,496/100,124 = 100,124/x
  3. Step 3: Cross multiply
    65,496x = 100,124 × 100,124
  4. Step 4: Simplify right side
    65,496x = 10,024,815,376
  5. Step 5: Solve for x
    x = 10,024,815,376/65,496
  6. Step 6: Final answer
    x = 153,059.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.