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Finding the Third Proportional to 54,678 and 71,796

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Solution

The third proportional to 54,678 and 71,796 is: 94,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678 : 71,796 = 71,796 : x
  2. Step 2: Convert to fraction form
    54,678/71,796 = 71,796/x
  3. Step 3: Cross multiply
    54,678x = 71,796 × 71,796
  4. Step 4: Simplify right side
    54,678x = 5,154,665,616
  5. Step 5: Solve for x
    x = 5,154,665,616/54,678
  6. Step 6: Final answer
    x = 94,273.12

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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.