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Finding the Third Proportional to 95,313 and 140,196

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Solution

The third proportional to 95,313 and 140,196 is: 206,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,313 : 140,196 = 140,196 : x
  2. Step 2: Convert to fraction form
    95,313/140,196 = 140,196/x
  3. Step 3: Cross multiply
    95,313x = 140,196 × 140,196
  4. Step 4: Simplify right side
    95,313x = 19,654,918,416
  5. Step 5: Solve for x
    x = 19,654,918,416/95,313
  6. Step 6: Final answer
    x = 206,214.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.