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Finding the Third Proportional to 54,411 and 79,753

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Solution

The third proportional to 54,411 and 79,753 is: 116,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411 : 79,753 = 79,753 : x
  2. Step 2: Convert to fraction form
    54,411/79,753 = 79,753/x
  3. Step 3: Cross multiply
    54,411x = 79,753 × 79,753
  4. Step 4: Simplify right side
    54,411x = 6,360,541,009
  5. Step 5: Solve for x
    x = 6,360,541,009/54,411
  6. Step 6: Final answer
    x = 116,898.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.