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Finding the Third Proportional to 54,405 and 79,744.50

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Solution

The third proportional to 54,405 and 79,744.50 is: 116,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,405 : 79,744.50 = 79,744.50 : x
  2. Step 2: Convert to fraction form
    54,405/79,744.50 = 79,744.50/x
  3. Step 3: Cross multiply
    54,405x = 79,744.50 × 79,744.50
  4. Step 4: Simplify right side
    54,405x = 6,359,185,280.25
  5. Step 5: Solve for x
    x = 6,359,185,280.25/54,405
  6. Step 6: Final answer
    x = 116,886.05

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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.