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Finding the Third Proportional to 100,724 and 151,086

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Solution

The third proportional to 100,724 and 151,086 is: 226,629

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,724 : 151,086 = 151,086 : x
  2. Step 2: Convert to fraction form
    100,724/151,086 = 151,086/x
  3. Step 3: Cross multiply
    100,724x = 151,086 × 151,086
  4. Step 4: Simplify right side
    100,724x = 22,826,979,396
  5. Step 5: Solve for x
    x = 22,826,979,396/100,724
  6. Step 6: Final answer
    x = 226,629

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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.