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Finding the Third Proportional to 69,772 and 143,216

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Solution

The third proportional to 69,772 and 143,216 is: 293,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,772 : 143,216 = 143,216 : x
  2. Step 2: Convert to fraction form
    69,772/143,216 = 143,216/x
  3. Step 3: Cross multiply
    69,772x = 143,216 × 143,216
  4. Step 4: Simplify right side
    69,772x = 20,510,822,656
  5. Step 5: Solve for x
    x = 20,510,822,656/69,772
  6. Step 6: Final answer
    x = 293,969.25

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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.