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Finding the Third Proportional to 77,986 and 170,596

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Solution

The third proportional to 77,986 and 170,596 is: 373,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986 : 170,596 = 170,596 : x
  2. Step 2: Convert to fraction form
    77,986/170,596 = 170,596/x
  3. Step 3: Cross multiply
    77,986x = 170,596 × 170,596
  4. Step 4: Simplify right side
    77,986x = 29,102,995,216
  5. Step 5: Solve for x
    x = 29,102,995,216/77,986
  6. Step 6: Final answer
    x = 373,182.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.