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Finding the Third Proportional to 95,372 and 140,135

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Solution

The third proportional to 95,372 and 140,135 is: 205,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,372 : 140,135 = 140,135 : x
  2. Step 2: Convert to fraction form
    95,372/140,135 = 140,135/x
  3. Step 3: Cross multiply
    95,372x = 140,135 × 140,135
  4. Step 4: Simplify right side
    95,372x = 19,637,818,225
  5. Step 5: Solve for x
    x = 19,637,818,225/95,372
  6. Step 6: Final answer
    x = 205,907.59

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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.