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Finding the Third Proportional to 57,647 and 89,022

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Solution

The third proportional to 57,647 and 89,022 is: 137,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647 : 89,022 = 89,022 : x
  2. Step 2: Convert to fraction form
    57,647/89,022 = 89,022/x
  3. Step 3: Cross multiply
    57,647x = 89,022 × 89,022
  4. Step 4: Simplify right side
    57,647x = 7,924,916,484
  5. Step 5: Solve for x
    x = 7,924,916,484/57,647
  6. Step 6: Final answer
    x = 137,473.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.