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Finding the Third Proportional to 54,146.75 and 87,235.50

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Solution

The third proportional to 54,146.75 and 87,235.50 is: 140,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146.75 : 87,235.50 = 87,235.50 : x
  2. Step 2: Convert to fraction form
    54,146.75/87,235.50 = 87,235.50/x
  3. Step 3: Cross multiply
    54,146.75x = 87,235.50 × 87,235.50
  4. Step 4: Simplify right side
    54,146.75x = 7,610,032,460.25
  5. Step 5: Solve for x
    x = 7,610,032,460.25/54,146.75
  6. Step 6: Final answer
    x = 140,544.58

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.