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Finding the Third Proportional to 68,863.50 and 143,911.13

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Solution

The third proportional to 68,863.50 and 143,911.13 is: 300,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,863.50 : 143,911.13 = 143,911.13 : x
  2. Step 2: Convert to fraction form
    68,863.50/143,911.13 = 143,911.13/x
  3. Step 3: Cross multiply
    68,863.50x = 143,911.13 × 143,911.13
  4. Step 4: Simplify right side
    68,863.50x = 20,710,411,898.77
  5. Step 5: Solve for x
    x = 20,710,411,898.77/68,863.50
  6. Step 6: Final answer
    x = 300,745.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.