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Finding the Third Proportional to 54,754 and 71,895

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Solution

The third proportional to 54,754 and 71,895 is: 94,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,754 : 71,895 = 71,895 : x
  2. Step 2: Convert to fraction form
    54,754/71,895 = 71,895/x
  3. Step 3: Cross multiply
    54,754x = 71,895 × 71,895
  4. Step 4: Simplify right side
    54,754x = 5,168,891,025
  5. Step 5: Solve for x
    x = 5,168,891,025/54,754
  6. Step 6: Final answer
    x = 94,402.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.