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Finding the Third Proportional to 132,048 and 197,565.75

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Solution

The third proportional to 132,048 and 197,565.75 is: 295,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048 : 197,565.75 = 197,565.75 : x
  2. Step 2: Convert to fraction form
    132,048/197,565.75 = 197,565.75/x
  3. Step 3: Cross multiply
    132,048x = 197,565.75 × 197,565.75
  4. Step 4: Simplify right side
    132,048x = 39,032,225,573.06
  5. Step 5: Solve for x
    x = 39,032,225,573.06/132,048
  6. Step 6: Final answer
    x = 295,591.19

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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.