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Finding the Third Proportional to 132,729 and 199,107.75

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Solution

The third proportional to 132,729 and 199,107.75 is: 298,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,729 : 199,107.75 = 199,107.75 : x
  2. Step 2: Convert to fraction form
    132,729/199,107.75 = 199,107.75/x
  3. Step 3: Cross multiply
    132,729x = 199,107.75 × 199,107.75
  4. Step 4: Simplify right side
    132,729x = 39,643,896,110.06
  5. Step 5: Solve for x
    x = 39,643,896,110.06/132,729
  6. Step 6: Final answer
    x = 298,683.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.