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Finding the Third Proportional to 78,912 and 119,184

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Solution

The third proportional to 78,912 and 119,184 is: 180,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,912 : 119,184 = 119,184 : x
  2. Step 2: Convert to fraction form
    78,912/119,184 = 119,184/x
  3. Step 3: Cross multiply
    78,912x = 119,184 × 119,184
  4. Step 4: Simplify right side
    78,912x = 14,204,825,856
  5. Step 5: Solve for x
    x = 14,204,825,856/78,912
  6. Step 6: Final answer
    x = 180,008.44

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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.