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Finding the Third Proportional to 100,598 and 150,909

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Solution

The third proportional to 100,598 and 150,909 is: 226,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,598 : 150,909 = 150,909 : x
  2. Step 2: Convert to fraction form
    100,598/150,909 = 150,909/x
  3. Step 3: Cross multiply
    100,598x = 150,909 × 150,909
  4. Step 4: Simplify right side
    100,598x = 22,773,526,281
  5. Step 5: Solve for x
    x = 22,773,526,281/100,598
  6. Step 6: Final answer
    x = 226,381.50

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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.