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Finding the Third Proportional to 79,564 and 171,583

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Solution

The third proportional to 79,564 and 171,583 is: 370,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,564 : 171,583 = 171,583 : x
  2. Step 2: Convert to fraction form
    79,564/171,583 = 171,583/x
  3. Step 3: Cross multiply
    79,564x = 171,583 × 171,583
  4. Step 4: Simplify right side
    79,564x = 29,440,725,889
  5. Step 5: Solve for x
    x = 29,440,725,889/79,564
  6. Step 6: Final answer
    x = 370,025.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.