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Finding the Third Proportional to 73,876 and 157,406

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Solution

The third proportional to 73,876 and 157,406 is: 335,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876 : 157,406 = 157,406 : x
  2. Step 2: Convert to fraction form
    73,876/157,406 = 157,406/x
  3. Step 3: Cross multiply
    73,876x = 157,406 × 157,406
  4. Step 4: Simplify right side
    73,876x = 24,776,648,836
  5. Step 5: Solve for x
    x = 24,776,648,836/73,876
  6. Step 6: Final answer
    x = 335,381.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.