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Finding the Third Proportional to 100,902 and 151,353

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Solution

The third proportional to 100,902 and 151,353 is: 227,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,902 : 151,353 = 151,353 : x
  2. Step 2: Convert to fraction form
    100,902/151,353 = 151,353/x
  3. Step 3: Cross multiply
    100,902x = 151,353 × 151,353
  4. Step 4: Simplify right side
    100,902x = 22,907,730,609
  5. Step 5: Solve for x
    x = 22,907,730,609/100,902
  6. Step 6: Final answer
    x = 227,029.50

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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.