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Finding the Third Proportional to 77,026.50 and 166,689

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Solution

The third proportional to 77,026.50 and 166,689 is: 360,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,026.50 : 166,689 = 166,689 : x
  2. Step 2: Convert to fraction form
    77,026.50/166,689 = 166,689/x
  3. Step 3: Cross multiply
    77,026.50x = 166,689 × 166,689
  4. Step 4: Simplify right side
    77,026.50x = 27,785,222,721
  5. Step 5: Solve for x
    x = 27,785,222,721/77,026.50
  6. Step 6: Final answer
    x = 360,722.90

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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.