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Finding the Third Proportional to 54,784.50 and 73,155

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Solution

The third proportional to 54,784.50 and 73,155 is: 97,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.50 : 73,155 = 73,155 : x
  2. Step 2: Convert to fraction form
    54,784.50/73,155 = 73,155/x
  3. Step 3: Cross multiply
    54,784.50x = 73,155 × 73,155
  4. Step 4: Simplify right side
    54,784.50x = 5,351,654,025
  5. Step 5: Solve for x
    x = 5,351,654,025/54,784.50
  6. Step 6: Final answer
    x = 97,685.55

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.