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Finding the Third Proportional to 125,122.22 and 193,903.56

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Solution

The third proportional to 125,122.22 and 193,903.56 is: 300,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,122.22 : 193,903.56 = 193,903.56 : x
  2. Step 2: Convert to fraction form
    125,122.22/193,903.56 = 193,903.56/x
  3. Step 3: Cross multiply
    125,122.22x = 193,903.56 × 193,903.56
  4. Step 4: Simplify right side
    125,122.22x = 37,598,590,035.32
  5. Step 5: Solve for x
    x = 37,598,590,035.32/125,122.22
  6. Step 6: Final answer
    x = 300,494.91

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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.