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Finding the Third Proportional to 76,232 and 113,241

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Solution

The third proportional to 76,232 and 113,241 is: 168,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232 : 113,241 = 113,241 : x
  2. Step 2: Convert to fraction form
    76,232/113,241 = 113,241/x
  3. Step 3: Cross multiply
    76,232x = 113,241 × 113,241
  4. Step 4: Simplify right side
    76,232x = 12,823,524,081
  5. Step 5: Solve for x
    x = 12,823,524,081/76,232
  6. Step 6: Final answer
    x = 168,217.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.