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Finding the Third Proportional to 33,677 and 73,178

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Solution

The third proportional to 33,677 and 73,178 is: 159,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677 : 73,178 = 73,178 : x
  2. Step 2: Convert to fraction form
    33,677/73,178 = 73,178/x
  3. Step 3: Cross multiply
    33,677x = 73,178 × 73,178
  4. Step 4: Simplify right side
    33,677x = 5,355,019,684
  5. Step 5: Solve for x
    x = 5,355,019,684/33,677
  6. Step 6: Final answer
    x = 159,011.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.