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Finding the Third Proportional to 95,374 and 140,138

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Solution

The third proportional to 95,374 and 140,138 is: 205,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,374 : 140,138 = 140,138 : x
  2. Step 2: Convert to fraction form
    95,374/140,138 = 140,138/x
  3. Step 3: Cross multiply
    95,374x = 140,138 × 140,138
  4. Step 4: Simplify right side
    95,374x = 19,638,659,044
  5. Step 5: Solve for x
    x = 19,638,659,044/95,374
  6. Step 6: Final answer
    x = 205,912.08

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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.