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Finding the Third Proportional to 57,066 and 89,054

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Solution

The third proportional to 57,066 and 89,054 is: 138,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066 : 89,054 = 89,054 : x
  2. Step 2: Convert to fraction form
    57,066/89,054 = 89,054/x
  3. Step 3: Cross multiply
    57,066x = 89,054 × 89,054
  4. Step 4: Simplify right side
    57,066x = 7,930,614,916
  5. Step 5: Solve for x
    x = 7,930,614,916/57,066
  6. Step 6: Final answer
    x = 138,972.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.