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Finding the Third Proportional to 113,863 and 157,877

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Solution

The third proportional to 113,863 and 157,877 is: 218,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,863 : 157,877 = 157,877 : x
  2. Step 2: Convert to fraction form
    113,863/157,877 = 157,877/x
  3. Step 3: Cross multiply
    113,863x = 157,877 × 157,877
  4. Step 4: Simplify right side
    113,863x = 24,925,147,129
  5. Step 5: Solve for x
    x = 24,925,147,129/113,863
  6. Step 6: Final answer
    x = 218,904.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.