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Finding the Third Proportional to 67,972 and 147,622

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Solution

The third proportional to 67,972 and 147,622 is: 320,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,972 : 147,622 = 147,622 : x
  2. Step 2: Convert to fraction form
    67,972/147,622 = 147,622/x
  3. Step 3: Cross multiply
    67,972x = 147,622 × 147,622
  4. Step 4: Simplify right side
    67,972x = 21,792,254,884
  5. Step 5: Solve for x
    x = 21,792,254,884/67,972
  6. Step 6: Final answer
    x = 320,606.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.