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Finding the Third Proportional to 57,183 and 88,889

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Solution

The third proportional to 57,183 and 88,889 is: 138,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,183 : 88,889 = 88,889 : x
  2. Step 2: Convert to fraction form
    57,183/88,889 = 88,889/x
  3. Step 3: Cross multiply
    57,183x = 88,889 × 88,889
  4. Step 4: Simplify right side
    57,183x = 7,901,254,321
  5. Step 5: Solve for x
    x = 7,901,254,321/57,183
  6. Step 6: Final answer
    x = 138,174.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.