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Finding the Third Proportional to 101,451 and 158,318

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Solution

The third proportional to 101,451 and 158,318 is: 247,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451 : 158,318 = 158,318 : x
  2. Step 2: Convert to fraction form
    101,451/158,318 = 158,318/x
  3. Step 3: Cross multiply
    101,451x = 158,318 × 158,318
  4. Step 4: Simplify right side
    101,451x = 25,064,589,124
  5. Step 5: Solve for x
    x = 25,064,589,124/101,451
  6. Step 6: Final answer
    x = 247,061.04

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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.