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Finding the Third Proportional to 69,057 and 143,022

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Solution

The third proportional to 69,057 and 143,022 is: 296,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,057 : 143,022 = 143,022 : x
  2. Step 2: Convert to fraction form
    69,057/143,022 = 143,022/x
  3. Step 3: Cross multiply
    69,057x = 143,022 × 143,022
  4. Step 4: Simplify right side
    69,057x = 20,455,292,484
  5. Step 5: Solve for x
    x = 20,455,292,484/69,057
  6. Step 6: Final answer
    x = 296,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.