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Finding the Third Proportional to 56,823 and 86,965

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Solution

The third proportional to 56,823 and 86,965 is: 133,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,823 : 86,965 = 86,965 : x
  2. Step 2: Convert to fraction form
    56,823/86,965 = 86,965/x
  3. Step 3: Cross multiply
    56,823x = 86,965 × 86,965
  4. Step 4: Simplify right side
    56,823x = 7,562,911,225
  5. Step 5: Solve for x
    x = 7,562,911,225/56,823
  6. Step 6: Final answer
    x = 133,095.95

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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.