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Finding the Third Proportional to 95,374 and 207,136

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Solution

The third proportional to 95,374 and 207,136 is: 449,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,374 : 207,136 = 207,136 : x
  2. Step 2: Convert to fraction form
    95,374/207,136 = 207,136/x
  3. Step 3: Cross multiply
    95,374x = 207,136 × 207,136
  4. Step 4: Simplify right side
    95,374x = 42,905,322,496
  5. Step 5: Solve for x
    x = 42,905,322,496/95,374
  6. Step 6: Final answer
    x = 449,863.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.