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Finding the Third Proportional to 125,226 and 193,934.25

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Solution

The third proportional to 125,226 and 193,934.25 is: 300,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,226 : 193,934.25 = 193,934.25 : x
  2. Step 2: Convert to fraction form
    125,226/193,934.25 = 193,934.25/x
  3. Step 3: Cross multiply
    125,226x = 193,934.25 × 193,934.25
  4. Step 4: Simplify right side
    125,226x = 37,610,493,323.06
  5. Step 5: Solve for x
    x = 37,610,493,323.06/125,226
  6. Step 6: Final answer
    x = 300,340.93

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