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Finding the Third Proportional to 79,598 and 171,630

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Solution

The third proportional to 79,598 and 171,630 is: 370,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,598 : 171,630 = 171,630 : x
  2. Step 2: Convert to fraction form
    79,598/171,630 = 171,630/x
  3. Step 3: Cross multiply
    79,598x = 171,630 × 171,630
  4. Step 4: Simplify right side
    79,598x = 29,456,856,900
  5. Step 5: Solve for x
    x = 29,456,856,900/79,598
  6. Step 6: Final answer
    x = 370,070.31

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