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Finding the Third Proportional to 83,848 and 113,932

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Solution

The third proportional to 83,848 and 113,932 is: 154,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,848 : 113,932 = 113,932 : x
  2. Step 2: Convert to fraction form
    83,848/113,932 = 113,932/x
  3. Step 3: Cross multiply
    83,848x = 113,932 × 113,932
  4. Step 4: Simplify right side
    83,848x = 12,980,500,624
  5. Step 5: Solve for x
    x = 12,980,500,624/83,848
  6. Step 6: Final answer
    x = 154,809.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.