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Finding the Third Proportional to 68,980.50 and 140,877

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Solution

The third proportional to 68,980.50 and 140,877 is: 287,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,980.50 : 140,877 = 140,877 : x
  2. Step 2: Convert to fraction form
    68,980.50/140,877 = 140,877/x
  3. Step 3: Cross multiply
    68,980.50x = 140,877 × 140,877
  4. Step 4: Simplify right side
    68,980.50x = 19,846,329,129
  5. Step 5: Solve for x
    x = 19,846,329,129/68,980.50
  6. Step 6: Final answer
    x = 287,709.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.