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Finding the Third Proportional to 67,178 and 147,604

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Solution

The third proportional to 67,178 and 147,604 is: 324,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178 : 147,604 = 147,604 : x
  2. Step 2: Convert to fraction form
    67,178/147,604 = 147,604/x
  3. Step 3: Cross multiply
    67,178x = 147,604 × 147,604
  4. Step 4: Simplify right side
    67,178x = 21,786,940,816
  5. Step 5: Solve for x
    x = 21,786,940,816/67,178
  6. Step 6: Final answer
    x = 324,316.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.