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Finding the Third Proportional to 68,384 and 92,020

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Solution

The third proportional to 68,384 and 92,020 is: 123,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,384 : 92,020 = 92,020 : x
  2. Step 2: Convert to fraction form
    68,384/92,020 = 92,020/x
  3. Step 3: Cross multiply
    68,384x = 92,020 × 92,020
  4. Step 4: Simplify right side
    68,384x = 8,467,680,400
  5. Step 5: Solve for x
    x = 8,467,680,400/68,384
  6. Step 6: Final answer
    x = 123,825.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.