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Finding the Third Proportional to 69,029 and 150,982

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Solution

The third proportional to 69,029 and 150,982 is: 330,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,029 : 150,982 = 150,982 : x
  2. Step 2: Convert to fraction form
    69,029/150,982 = 150,982/x
  3. Step 3: Cross multiply
    69,029x = 150,982 × 150,982
  4. Step 4: Simplify right side
    69,029x = 22,795,564,324
  5. Step 5: Solve for x
    x = 22,795,564,324/69,029
  6. Step 6: Final answer
    x = 330,231.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.