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Finding the Third Proportional to 78,990 and 170,760

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Solution

The third proportional to 78,990 and 170,760 is: 369,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,990 : 170,760 = 170,760 : x
  2. Step 2: Convert to fraction form
    78,990/170,760 = 170,760/x
  3. Step 3: Cross multiply
    78,990x = 170,760 × 170,760
  4. Step 4: Simplify right side
    78,990x = 29,158,977,600
  5. Step 5: Solve for x
    x = 29,158,977,600/78,990
  6. Step 6: Final answer
    x = 369,147.71

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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.