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Finding the Third Proportional to 98,161 and 151,079

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Solution

The third proportional to 98,161 and 151,079 is: 232,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,161 : 151,079 = 151,079 : x
  2. Step 2: Convert to fraction form
    98,161/151,079 = 151,079/x
  3. Step 3: Cross multiply
    98,161x = 151,079 × 151,079
  4. Step 4: Simplify right side
    98,161x = 22,824,864,241
  5. Step 5: Solve for x
    x = 22,824,864,241/98,161
  6. Step 6: Final answer
    x = 232,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.