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Finding the Third Proportional to 54,496 and 81,928

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Solution

The third proportional to 54,496 and 81,928 is: 123,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,496 : 81,928 = 81,928 : x
  2. Step 2: Convert to fraction form
    54,496/81,928 = 81,928/x
  3. Step 3: Cross multiply
    54,496x = 81,928 × 81,928
  4. Step 4: Simplify right side
    54,496x = 6,712,197,184
  5. Step 5: Solve for x
    x = 6,712,197,184/54,496
  6. Step 6: Final answer
    x = 123,168.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.