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Finding the Third Proportional to 54,659.81 and 131,561.72

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Solution

The third proportional to 54,659.81 and 131,561.72 is: 316,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.81 : 131,561.72 = 131,561.72 : x
  2. Step 2: Convert to fraction form
    54,659.81/131,561.72 = 131,561.72/x
  3. Step 3: Cross multiply
    54,659.81x = 131,561.72 × 131,561.72
  4. Step 4: Simplify right side
    54,659.81x = 17,308,485,840.45
  5. Step 5: Solve for x
    x = 17,308,485,840.45/54,659.81
  6. Step 6: Final answer
    x = 316,658.35

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.