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Finding the Third Proportional to 113,898 and 170,793

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Solution

The third proportional to 113,898 and 170,793 is: 256,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,898 : 170,793 = 170,793 : x
  2. Step 2: Convert to fraction form
    113,898/170,793 = 170,793/x
  3. Step 3: Cross multiply
    113,898x = 170,793 × 170,793
  4. Step 4: Simplify right side
    113,898x = 29,170,248,849
  5. Step 5: Solve for x
    x = 29,170,248,849/113,898
  6. Step 6: Final answer
    x = 256,108.53

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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.