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Finding the Third Proportional to 100,590 and 150,897

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Solution

The third proportional to 100,590 and 150,897 is: 226,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,590 : 150,897 = 150,897 : x
  2. Step 2: Convert to fraction form
    100,590/150,897 = 150,897/x
  3. Step 3: Cross multiply
    100,590x = 150,897 × 150,897
  4. Step 4: Simplify right side
    100,590x = 22,769,904,609
  5. Step 5: Solve for x
    x = 22,769,904,609/100,590
  6. Step 6: Final answer
    x = 226,363.50

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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.