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Finding the Third Proportional to 56,135 and 85,823

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Solution

The third proportional to 56,135 and 85,823 is: 131,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,135 : 85,823 = 85,823 : x
  2. Step 2: Convert to fraction form
    56,135/85,823 = 85,823/x
  3. Step 3: Cross multiply
    56,135x = 85,823 × 85,823
  4. Step 4: Simplify right side
    56,135x = 7,365,587,329
  5. Step 5: Solve for x
    x = 7,365,587,329/56,135
  6. Step 6: Final answer
    x = 131,212.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.