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Finding the Third Proportional to 132,045.75 and 197,562.38

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Solution

The third proportional to 132,045.75 and 197,562.38 is: 295,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,045.75 : 197,562.38 = 197,562.38 : x
  2. Step 2: Convert to fraction form
    132,045.75/197,562.38 = 197,562.38/x
  3. Step 3: Cross multiply
    132,045.75x = 197,562.38 × 197,562.38
  4. Step 4: Simplify right side
    132,045.75x = 39,030,892,015.64
  5. Step 5: Solve for x
    x = 39,030,892,015.64/132,045.75
  6. Step 6: Final answer
    x = 295,586.13

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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.