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Finding the Third Proportional to 84,197 and 180,069

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Solution

The third proportional to 84,197 and 180,069 is: 385,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,197 : 180,069 = 180,069 : x
  2. Step 2: Convert to fraction form
    84,197/180,069 = 180,069/x
  3. Step 3: Cross multiply
    84,197x = 180,069 × 180,069
  4. Step 4: Simplify right side
    84,197x = 32,424,844,761
  5. Step 5: Solve for x
    x = 32,424,844,761/84,197
  6. Step 6: Final answer
    x = 385,106.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.