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Finding the Third Proportional to 95,345 and 140,263

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Solution

The third proportional to 95,345 and 140,263 is: 206,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,345 : 140,263 = 140,263 : x
  2. Step 2: Convert to fraction form
    95,345/140,263 = 140,263/x
  3. Step 3: Cross multiply
    95,345x = 140,263 × 140,263
  4. Step 4: Simplify right side
    95,345x = 19,673,709,169
  5. Step 5: Solve for x
    x = 19,673,709,169/95,345
  6. Step 6: Final answer
    x = 206,342.33

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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.