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Finding the Third Proportional to 100,900 and 151,350

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Solution

The third proportional to 100,900 and 151,350 is: 227,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,900 : 151,350 = 151,350 : x
  2. Step 2: Convert to fraction form
    100,900/151,350 = 151,350/x
  3. Step 3: Cross multiply
    100,900x = 151,350 × 151,350
  4. Step 4: Simplify right side
    100,900x = 22,906,822,500
  5. Step 5: Solve for x
    x = 22,906,822,500/100,900
  6. Step 6: Final answer
    x = 227,025

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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.