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Finding the Third Proportional to 132,036.75 and 197,548.88

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Solution

The third proportional to 132,036.75 and 197,548.88 is: 295,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,036.75 : 197,548.88 = 197,548.88 : x
  2. Step 2: Convert to fraction form
    132,036.75/197,548.88 = 197,548.88/x
  3. Step 3: Cross multiply
    132,036.75x = 197,548.88 × 197,548.88
  4. Step 4: Simplify right side
    132,036.75x = 39,025,558,013.77
  5. Step 5: Solve for x
    x = 39,025,558,013.77/132,036.75
  6. Step 6: Final answer
    x = 295,565.88

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Why These Related Problems?

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