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Finding the Third Proportional to 95,336 and 140,136

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Solution

The third proportional to 95,336 and 140,136 is: 205,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,336 : 140,136 = 140,136 : x
  2. Step 2: Convert to fraction form
    95,336/140,136 = 140,136/x
  3. Step 3: Cross multiply
    95,336x = 140,136 × 140,136
  4. Step 4: Simplify right side
    95,336x = 19,638,098,496
  5. Step 5: Solve for x
    x = 19,638,098,496/95,336
  6. Step 6: Final answer
    x = 205,988.28

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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.