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Finding the Third Proportional to 42,864 and 68,208

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Solution

The third proportional to 42,864 and 68,208 is: 108,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,864 : 68,208 = 68,208 : x
  2. Step 2: Convert to fraction form
    42,864/68,208 = 68,208/x
  3. Step 3: Cross multiply
    42,864x = 68,208 × 68,208
  4. Step 4: Simplify right side
    42,864x = 4,652,331,264
  5. Step 5: Solve for x
    x = 4,652,331,264/42,864
  6. Step 6: Final answer
    x = 108,537.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.