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Finding the Third Proportional to 86,250 and 131,679

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Solution

The third proportional to 86,250 and 131,679 is: 201,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,250 : 131,679 = 131,679 : x
  2. Step 2: Convert to fraction form
    86,250/131,679 = 131,679/x
  3. Step 3: Cross multiply
    86,250x = 131,679 × 131,679
  4. Step 4: Simplify right side
    86,250x = 17,339,359,041
  5. Step 5: Solve for x
    x = 17,339,359,041/86,250
  6. Step 6: Final answer
    x = 201,036.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.