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Finding the Third Proportional to 69,750 and 143,208

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Solution

The third proportional to 69,750 and 143,208 is: 294,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,750 : 143,208 = 143,208 : x
  2. Step 2: Convert to fraction form
    69,750/143,208 = 143,208/x
  3. Step 3: Cross multiply
    69,750x = 143,208 × 143,208
  4. Step 4: Simplify right side
    69,750x = 20,508,531,264
  5. Step 5: Solve for x
    x = 20,508,531,264/69,750
  6. Step 6: Final answer
    x = 294,029.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.