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Finding the Third Proportional to 67,806 and 147,505

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Solution

The third proportional to 67,806 and 147,505 is: 320,882.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,806 : 147,505 = 147,505 : x
  2. Step 2: Convert to fraction form
    67,806/147,505 = 147,505/x
  3. Step 3: Cross multiply
    67,806x = 147,505 × 147,505
  4. Step 4: Simplify right side
    67,806x = 21,757,725,025
  5. Step 5: Solve for x
    x = 21,757,725,025/67,806
  6. Step 6: Final answer
    x = 320,882.00

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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.