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Finding the Third Proportional to 70,761 and 154,643

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Solution

The third proportional to 70,761 and 154,643 is: 337,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,761 : 154,643 = 154,643 : x
  2. Step 2: Convert to fraction form
    70,761/154,643 = 154,643/x
  3. Step 3: Cross multiply
    70,761x = 154,643 × 154,643
  4. Step 4: Simplify right side
    70,761x = 23,914,457,449
  5. Step 5: Solve for x
    x = 23,914,457,449/70,761
  6. Step 6: Final answer
    x = 337,960.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.