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Finding the Third Proportional to 56,796 and 85,990

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Solution

The third proportional to 56,796 and 85,990 is: 130,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,796 : 85,990 = 85,990 : x
  2. Step 2: Convert to fraction form
    56,796/85,990 = 85,990/x
  3. Step 3: Cross multiply
    56,796x = 85,990 × 85,990
  4. Step 4: Simplify right side
    56,796x = 7,394,280,100
  5. Step 5: Solve for x
    x = 7,394,280,100/56,796
  6. Step 6: Final answer
    x = 130,190.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.