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Finding the Third Proportional to 86,248 and 115,896

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Solution

The third proportional to 86,248 and 115,896 is: 155,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,248 : 115,896 = 115,896 : x
  2. Step 2: Convert to fraction form
    86,248/115,896 = 115,896/x
  3. Step 3: Cross multiply
    86,248x = 115,896 × 115,896
  4. Step 4: Simplify right side
    86,248x = 13,431,882,816
  5. Step 5: Solve for x
    x = 13,431,882,816/86,248
  6. Step 6: Final answer
    x = 155,735.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.