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Finding the Third Proportional to 54,412 and 79,754

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Solution

The third proportional to 54,412 and 79,754 is: 116,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,412 : 79,754 = 79,754 : x
  2. Step 2: Convert to fraction form
    54,412/79,754 = 79,754/x
  3. Step 3: Cross multiply
    54,412x = 79,754 × 79,754
  4. Step 4: Simplify right side
    54,412x = 6,360,700,516
  5. Step 5: Solve for x
    x = 6,360,700,516/54,412
  6. Step 6: Final answer
    x = 116,898.86

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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.