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Finding the Third Proportional to 78,084 and 167,184

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Solution

The third proportional to 78,084 and 167,184 is: 357,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084 : 167,184 = 167,184 : x
  2. Step 2: Convert to fraction form
    78,084/167,184 = 167,184/x
  3. Step 3: Cross multiply
    78,084x = 167,184 × 167,184
  4. Step 4: Simplify right side
    78,084x = 27,950,489,856
  5. Step 5: Solve for x
    x = 27,950,489,856/78,084
  6. Step 6: Final answer
    x = 357,954.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.