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Finding the Third Proportional to 86,844 and 130,474

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Solution

The third proportional to 86,844 and 130,474 is: 196,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,844 : 130,474 = 130,474 : x
  2. Step 2: Convert to fraction form
    86,844/130,474 = 130,474/x
  3. Step 3: Cross multiply
    86,844x = 130,474 × 130,474
  4. Step 4: Simplify right side
    86,844x = 17,023,464,676
  5. Step 5: Solve for x
    x = 17,023,464,676/86,844
  6. Step 6: Final answer
    x = 196,023.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.