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Finding the Third Proportional to 157,093 and 235,126

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Solution

The third proportional to 157,093 and 235,126 is: 351,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,093 : 235,126 = 235,126 : x
  2. Step 2: Convert to fraction form
    157,093/235,126 = 235,126/x
  3. Step 3: Cross multiply
    157,093x = 235,126 × 235,126
  4. Step 4: Simplify right side
    157,093x = 55,284,235,876
  5. Step 5: Solve for x
    x = 55,284,235,876/157,093
  6. Step 6: Final answer
    x = 351,920.43

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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.