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Finding the Third Proportional to 57,736 and 86,774

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Solution

The third proportional to 57,736 and 86,774 is: 130,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736 : 86,774 = 86,774 : x
  2. Step 2: Convert to fraction form
    57,736/86,774 = 86,774/x
  3. Step 3: Cross multiply
    57,736x = 86,774 × 86,774
  4. Step 4: Simplify right side
    57,736x = 7,529,727,076
  5. Step 5: Solve for x
    x = 7,529,727,076/57,736
  6. Step 6: Final answer
    x = 130,416.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.