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Finding the Third Proportional to 103,349 and 158,079

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Solution

The third proportional to 103,349 and 158,079 is: 241,792.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,349 : 158,079 = 158,079 : x
  2. Step 2: Convert to fraction form
    103,349/158,079 = 158,079/x
  3. Step 3: Cross multiply
    103,349x = 158,079 × 158,079
  4. Step 4: Simplify right side
    103,349x = 24,988,970,241
  5. Step 5: Solve for x
    x = 24,988,970,241/103,349
  6. Step 6: Final answer
    x = 241,792.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.