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Finding the Third Proportional to 43,234 and 100,983

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Solution

The third proportional to 43,234 and 100,983 is: 235,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,234 : 100,983 = 100,983 : x
  2. Step 2: Convert to fraction form
    43,234/100,983 = 100,983/x
  3. Step 3: Cross multiply
    43,234x = 100,983 × 100,983
  4. Step 4: Simplify right side
    43,234x = 10,197,566,289
  5. Step 5: Solve for x
    x = 10,197,566,289/43,234
  6. Step 6: Final answer
    x = 235,869.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.