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Finding the Third Proportional to 80,586 and 113,283

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Solution

The third proportional to 80,586 and 113,283 is: 159,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586 : 113,283 = 113,283 : x
  2. Step 2: Convert to fraction form
    80,586/113,283 = 113,283/x
  3. Step 3: Cross multiply
    80,586x = 113,283 × 113,283
  4. Step 4: Simplify right side
    80,586x = 12,833,038,089
  5. Step 5: Solve for x
    x = 12,833,038,089/80,586
  6. Step 6: Final answer
    x = 159,246.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.