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Finding the Third Proportional to 137,958.19 and 195,225.19

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Solution

The third proportional to 137,958.19 and 195,225.19 is: 276,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,958.19 : 195,225.19 = 195,225.19 : x
  2. Step 2: Convert to fraction form
    137,958.19/195,225.19 = 195,225.19/x
  3. Step 3: Cross multiply
    137,958.19x = 195,225.19 × 195,225.19
  4. Step 4: Simplify right side
    137,958.19x = 38,112,873,834.41
  5. Step 5: Solve for x
    x = 38,112,873,834.41/137,958.19
  6. Step 6: Final answer
    x = 276,263.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.