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Finding the Third Proportional to 56,884 and 132,890

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Solution

The third proportional to 56,884 and 132,890 is: 310,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,884 : 132,890 = 132,890 : x
  2. Step 2: Convert to fraction form
    56,884/132,890 = 132,890/x
  3. Step 3: Cross multiply
    56,884x = 132,890 × 132,890
  4. Step 4: Simplify right side
    56,884x = 17,659,752,100
  5. Step 5: Solve for x
    x = 17,659,752,100/56,884
  6. Step 6: Final answer
    x = 310,452.01

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.