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Finding the Third Proportional to 68,297 and 102,644

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Solution

The third proportional to 68,297 and 102,644 is: 154,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,297 : 102,644 = 102,644 : x
  2. Step 2: Convert to fraction form
    68,297/102,644 = 102,644/x
  3. Step 3: Cross multiply
    68,297x = 102,644 × 102,644
  4. Step 4: Simplify right side
    68,297x = 10,535,790,736
  5. Step 5: Solve for x
    x = 10,535,790,736/68,297
  6. Step 6: Final answer
    x = 154,264.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.