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Finding the Third Proportional to 68,992 and 104,784

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Solution

The third proportional to 68,992 and 104,784 is: 159,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,992 : 104,784 = 104,784 : x
  2. Step 2: Convert to fraction form
    68,992/104,784 = 104,784/x
  3. Step 3: Cross multiply
    68,992x = 104,784 × 104,784
  4. Step 4: Simplify right side
    68,992x = 10,979,686,656
  5. Step 5: Solve for x
    x = 10,979,686,656/68,992
  6. Step 6: Final answer
    x = 159,144.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.