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Finding the Third Proportional to 95,306 and 140,106

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Solution

The third proportional to 95,306 and 140,106 is: 205,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,306 : 140,106 = 140,106 : x
  2. Step 2: Convert to fraction form
    95,306/140,106 = 140,106/x
  3. Step 3: Cross multiply
    95,306x = 140,106 × 140,106
  4. Step 4: Simplify right side
    95,306x = 19,629,691,236
  5. Step 5: Solve for x
    x = 19,629,691,236/95,306
  6. Step 6: Final answer
    x = 205,964.91

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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.