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Finding the Third Proportional to 95,344 and 140,148

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Solution

The third proportional to 95,344 and 140,148 is: 206,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,344 : 140,148 = 140,148 : x
  2. Step 2: Convert to fraction form
    95,344/140,148 = 140,148/x
  3. Step 3: Cross multiply
    95,344x = 140,148 × 140,148
  4. Step 4: Simplify right side
    95,344x = 19,641,461,904
  5. Step 5: Solve for x
    x = 19,641,461,904/95,344
  6. Step 6: Final answer
    x = 206,006.27

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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.