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Finding the Third Proportional to 68,359 and 92,022

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Solution

The third proportional to 68,359 and 92,022 is: 123,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,359 : 92,022 = 92,022 : x
  2. Step 2: Convert to fraction form
    68,359/92,022 = 92,022/x
  3. Step 3: Cross multiply
    68,359x = 92,022 × 92,022
  4. Step 4: Simplify right side
    68,359x = 8,468,048,484
  5. Step 5: Solve for x
    x = 8,468,048,484/68,359
  6. Step 6: Final answer
    x = 123,876.13

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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.