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Finding the Third Proportional to 77,424.75 and 169,611.75

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Solution

The third proportional to 77,424.75 and 169,611.75 is: 371,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.75 : 169,611.75 = 169,611.75 : x
  2. Step 2: Convert to fraction form
    77,424.75/169,611.75 = 169,611.75/x
  3. Step 3: Cross multiply
    77,424.75x = 169,611.75 × 169,611.75
  4. Step 4: Simplify right side
    77,424.75x = 28,768,145,738.06
  5. Step 5: Solve for x
    x = 28,768,145,738.06/77,424.75
  6. Step 6: Final answer
    x = 371,562.66

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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.