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Finding the Third Proportional to 122,039.16 and 188,947.69

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Solution

The third proportional to 122,039.16 and 188,947.69 is: 292,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,039.16 : 188,947.69 = 188,947.69 : x
  2. Step 2: Convert to fraction form
    122,039.16/188,947.69 = 188,947.69/x
  3. Step 3: Cross multiply
    122,039.16x = 188,947.69 × 188,947.69
  4. Step 4: Simplify right side
    122,039.16x = 35,701,228,611.60
  5. Step 5: Solve for x
    x = 35,701,228,611.60/122,039.16
  6. Step 6: Final answer
    x = 292,539.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.