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Finding the Third Proportional to 86,841 and 135,514

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Solution

The third proportional to 86,841 and 135,514 is: 211,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,841 : 135,514 = 135,514 : x
  2. Step 2: Convert to fraction form
    86,841/135,514 = 135,514/x
  3. Step 3: Cross multiply
    86,841x = 135,514 × 135,514
  4. Step 4: Simplify right side
    86,841x = 18,364,044,196
  5. Step 5: Solve for x
    x = 18,364,044,196/86,841
  6. Step 6: Final answer
    x = 211,467.44

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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.