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Finding the Third Proportional to 79,584 and 171,621

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Solution

The third proportional to 79,584 and 171,621 is: 370,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,584 : 171,621 = 171,621 : x
  2. Step 2: Convert to fraction form
    79,584/171,621 = 171,621/x
  3. Step 3: Cross multiply
    79,584x = 171,621 × 171,621
  4. Step 4: Simplify right side
    79,584x = 29,453,767,641
  5. Step 5: Solve for x
    x = 29,453,767,641/79,584
  6. Step 6: Final answer
    x = 370,096.60

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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.