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Finding the Third Proportional to 132,040 and 195,148

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Solution

The third proportional to 132,040 and 195,148 is: 288,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,040 : 195,148 = 195,148 : x
  2. Step 2: Convert to fraction form
    132,040/195,148 = 195,148/x
  3. Step 3: Cross multiply
    132,040x = 195,148 × 195,148
  4. Step 4: Simplify right side
    132,040x = 38,082,741,904
  5. Step 5: Solve for x
    x = 38,082,741,904/132,040
  6. Step 6: Final answer
    x = 288,418.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.