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Finding the Third Proportional to 86,566 and 135,316

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Solution

The third proportional to 86,566 and 135,316 is: 211,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,566 : 135,316 = 135,316 : x
  2. Step 2: Convert to fraction form
    86,566/135,316 = 135,316/x
  3. Step 3: Cross multiply
    86,566x = 135,316 × 135,316
  4. Step 4: Simplify right side
    86,566x = 18,310,419,856
  5. Step 5: Solve for x
    x = 18,310,419,856/86,566
  6. Step 6: Final answer
    x = 211,519.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.