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Finding the Third Proportional to 101,449 and 158,315

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Solution

The third proportional to 101,449 and 158,315 is: 247,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,449 : 158,315 = 158,315 : x
  2. Step 2: Convert to fraction form
    101,449/158,315 = 158,315/x
  3. Step 3: Cross multiply
    101,449x = 158,315 × 158,315
  4. Step 4: Simplify right side
    101,449x = 25,063,639,225
  5. Step 5: Solve for x
    x = 25,063,639,225/101,449
  6. Step 6: Final answer
    x = 247,056.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.