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Finding the Third Proportional to 67,184 and 144,736

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Solution

The third proportional to 67,184 and 144,736 is: 311,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184 : 144,736 = 144,736 : x
  2. Step 2: Convert to fraction form
    67,184/144,736 = 144,736/x
  3. Step 3: Cross multiply
    67,184x = 144,736 × 144,736
  4. Step 4: Simplify right side
    67,184x = 20,948,509,696
  5. Step 5: Solve for x
    x = 20,948,509,696/67,184
  6. Step 6: Final answer
    x = 311,808.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.