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Finding the Third Proportional to 84,217 and 180,103

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Solution

The third proportional to 84,217 and 180,103 is: 385,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,217 : 180,103 = 180,103 : x
  2. Step 2: Convert to fraction form
    84,217/180,103 = 180,103/x
  3. Step 3: Cross multiply
    84,217x = 180,103 × 180,103
  4. Step 4: Simplify right side
    84,217x = 32,437,090,609
  5. Step 5: Solve for x
    x = 32,437,090,609/84,217
  6. Step 6: Final answer
    x = 385,160.84

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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.