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Finding the Third Proportional to 86,583 and 135,339

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Solution

The third proportional to 86,583 and 135,339 is: 211,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583 : 135,339 = 135,339 : x
  2. Step 2: Convert to fraction form
    86,583/135,339 = 135,339/x
  3. Step 3: Cross multiply
    86,583x = 135,339 × 135,339
  4. Step 4: Simplify right side
    86,583x = 18,316,644,921
  5. Step 5: Solve for x
    x = 18,316,644,921/86,583
  6. Step 6: Final answer
    x = 211,550.13

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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.