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Finding the Third Proportional to 78,911 and 119,186

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Solution

The third proportional to 78,911 and 119,186 is: 180,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,911 : 119,186 = 119,186 : x
  2. Step 2: Convert to fraction form
    78,911/119,186 = 119,186/x
  3. Step 3: Cross multiply
    78,911x = 119,186 × 119,186
  4. Step 4: Simplify right side
    78,911x = 14,205,302,596
  5. Step 5: Solve for x
    x = 14,205,302,596/78,911
  6. Step 6: Final answer
    x = 180,016.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.