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Finding the Third Proportional to 67,518.38 and 147,186

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Solution

The third proportional to 67,518.38 and 147,186 is: 320,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,518.38 : 147,186 = 147,186 : x
  2. Step 2: Convert to fraction form
    67,518.38/147,186 = 147,186/x
  3. Step 3: Cross multiply
    67,518.38x = 147,186 × 147,186
  4. Step 4: Simplify right side
    67,518.38x = 21,663,718,596
  5. Step 5: Solve for x
    x = 21,663,718,596/67,518.38
  6. Step 6: Final answer
    x = 320,856.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.