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Finding the Third Proportional to 42,333 and 93,022

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Solution

The third proportional to 42,333 and 93,022 is: 204,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,333 : 93,022 = 93,022 : x
  2. Step 2: Convert to fraction form
    42,333/93,022 = 93,022/x
  3. Step 3: Cross multiply
    42,333x = 93,022 × 93,022
  4. Step 4: Simplify right side
    42,333x = 8,653,092,484
  5. Step 5: Solve for x
    x = 8,653,092,484/42,333
  6. Step 6: Final answer
    x = 204,405.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.