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Finding the Third Proportional to 107,121 and 157,367

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Solution

The third proportional to 107,121 and 157,367 is: 231,181.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,121 : 157,367 = 157,367 : x
  2. Step 2: Convert to fraction form
    107,121/157,367 = 157,367/x
  3. Step 3: Cross multiply
    107,121x = 157,367 × 157,367
  4. Step 4: Simplify right side
    107,121x = 24,764,372,689
  5. Step 5: Solve for x
    x = 24,764,372,689/107,121
  6. Step 6: Final answer
    x = 231,181.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.