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Finding the Third Proportional to 68,152 and 143,747

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Solution

The third proportional to 68,152 and 143,747 is: 303,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,152 : 143,747 = 143,747 : x
  2. Step 2: Convert to fraction form
    68,152/143,747 = 143,747/x
  3. Step 3: Cross multiply
    68,152x = 143,747 × 143,747
  4. Step 4: Simplify right side
    68,152x = 20,663,200,009
  5. Step 5: Solve for x
    x = 20,663,200,009/68,152
  6. Step 6: Final answer
    x = 303,192.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.