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Finding the Third Proportional to 95,470 and 140,283

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Solution

The third proportional to 95,470 and 140,283 is: 206,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,470 : 140,283 = 140,283 : x
  2. Step 2: Convert to fraction form
    95,470/140,283 = 140,283/x
  3. Step 3: Cross multiply
    95,470x = 140,283 × 140,283
  4. Step 4: Simplify right side
    95,470x = 19,679,320,089
  5. Step 5: Solve for x
    x = 19,679,320,089/95,470
  6. Step 6: Final answer
    x = 206,130.93

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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.