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Finding the Third Proportional to 68,092.50 and 149,622

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Solution

The third proportional to 68,092.50 and 149,622 is: 328,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,092.50 : 149,622 = 149,622 : x
  2. Step 2: Convert to fraction form
    68,092.50/149,622 = 149,622/x
  3. Step 3: Cross multiply
    68,092.50x = 149,622 × 149,622
  4. Step 4: Simplify right side
    68,092.50x = 22,386,742,884
  5. Step 5: Solve for x
    x = 22,386,742,884/68,092.50
  6. Step 6: Final answer
    x = 328,769.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.