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Finding the Third Proportional to 54,200.25 and 85,135.50

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Solution

The third proportional to 54,200.25 and 85,135.50 is: 133,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,200.25 : 85,135.50 = 85,135.50 : x
  2. Step 2: Convert to fraction form
    54,200.25/85,135.50 = 85,135.50/x
  3. Step 3: Cross multiply
    54,200.25x = 85,135.50 × 85,135.50
  4. Step 4: Simplify right side
    54,200.25x = 7,248,053,360.25
  5. Step 5: Solve for x
    x = 7,248,053,360.25/54,200.25
  6. Step 6: Final answer
    x = 133,727.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.