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Finding the Third Proportional to 79,134 and 168,564

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Solution

The third proportional to 79,134 and 168,564 is: 359,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,134 : 168,564 = 168,564 : x
  2. Step 2: Convert to fraction form
    79,134/168,564 = 168,564/x
  3. Step 3: Cross multiply
    79,134x = 168,564 × 168,564
  4. Step 4: Simplify right side
    79,134x = 28,413,822,096
  5. Step 5: Solve for x
    x = 28,413,822,096/79,134
  6. Step 6: Final answer
    x = 359,059.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.