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Finding the Third Proportional to 68,310 and 140,022

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Solution

The third proportional to 68,310 and 140,022 is: 287,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310 : 140,022 = 140,022 : x
  2. Step 2: Convert to fraction form
    68,310/140,022 = 140,022/x
  3. Step 3: Cross multiply
    68,310x = 140,022 × 140,022
  4. Step 4: Simplify right side
    68,310x = 19,606,160,484
  5. Step 5: Solve for x
    x = 19,606,160,484/68,310
  6. Step 6: Final answer
    x = 287,017.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.