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Finding the Third Proportional to 54,681.56 and 78,194.81

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Solution

The third proportional to 54,681.56 and 78,194.81 is: 111,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,681.56 : 78,194.81 = 78,194.81 : x
  2. Step 2: Convert to fraction form
    54,681.56/78,194.81 = 78,194.81/x
  3. Step 3: Cross multiply
    54,681.56x = 78,194.81 × 78,194.81
  4. Step 4: Simplify right side
    54,681.56x = 6,114,428,701.91
  5. Step 5: Solve for x
    x = 6,114,428,701.91/54,681.56
  6. Step 6: Final answer
    x = 111,818.84

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.