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Finding the Third Proportional to 95,035 and 205,136

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Solution

The third proportional to 95,035 and 205,136 is: 442,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,035 : 205,136 = 205,136 : x
  2. Step 2: Convert to fraction form
    95,035/205,136 = 205,136/x
  3. Step 3: Cross multiply
    95,035x = 205,136 × 205,136
  4. Step 4: Simplify right side
    95,035x = 42,080,778,496
  5. Step 5: Solve for x
    x = 42,080,778,496/95,035
  6. Step 6: Final answer
    x = 442,792.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.