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Finding the Third Proportional to 95,302 and 140,100

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Solution

The third proportional to 95,302 and 140,100 is: 205,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,302 : 140,100 = 140,100 : x
  2. Step 2: Convert to fraction form
    95,302/140,100 = 140,100/x
  3. Step 3: Cross multiply
    95,302x = 140,100 × 140,100
  4. Step 4: Simplify right side
    95,302x = 19,628,010,000
  5. Step 5: Solve for x
    x = 19,628,010,000/95,302
  6. Step 6: Final answer
    x = 205,955.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.