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Finding the Third Proportional to 113,586 and 159,276

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Solution

The third proportional to 113,586 and 159,276 is: 223,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586 : 159,276 = 159,276 : x
  2. Step 2: Convert to fraction form
    113,586/159,276 = 159,276/x
  3. Step 3: Cross multiply
    113,586x = 159,276 × 159,276
  4. Step 4: Simplify right side
    113,586x = 25,368,844,176
  5. Step 5: Solve for x
    x = 25,368,844,176/113,586
  6. Step 6: Final answer
    x = 223,344.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.