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Finding the Third Proportional to 125,317.13 and 193,912.31

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Solution

The third proportional to 125,317.13 and 193,912.31 is: 300,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,317.13 : 193,912.31 = 193,912.31 : x
  2. Step 2: Convert to fraction form
    125,317.13/193,912.31 = 193,912.31/x
  3. Step 3: Cross multiply
    125,317.13x = 193,912.31 × 193,912.31
  4. Step 4: Simplify right side
    125,317.13x = 37,601,984,939.10
  5. Step 5: Solve for x
    x = 37,601,984,939.10/125,317.13
  6. Step 6: Final answer
    x = 300,054.64

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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.