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Finding the Third Proportional to 36,095 and 78,742

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Solution

The third proportional to 36,095 and 78,742 is: 171,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,095 : 78,742 = 78,742 : x
  2. Step 2: Convert to fraction form
    36,095/78,742 = 78,742/x
  3. Step 3: Cross multiply
    36,095x = 78,742 × 78,742
  4. Step 4: Simplify right side
    36,095x = 6,200,302,564
  5. Step 5: Solve for x
    x = 6,200,302,564/36,095
  6. Step 6: Final answer
    x = 171,777.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.