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Finding the Third Proportional to 103,619 and 154,924

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Solution

The third proportional to 103,619 and 154,924 is: 231,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619 : 154,924 = 154,924 : x
  2. Step 2: Convert to fraction form
    103,619/154,924 = 154,924/x
  3. Step 3: Cross multiply
    103,619x = 154,924 × 154,924
  4. Step 4: Simplify right side
    103,619x = 24,001,445,776
  5. Step 5: Solve for x
    x = 24,001,445,776/103,619
  6. Step 6: Final answer
    x = 231,631.71

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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.