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Finding the Third Proportional to 54,583 and 81,536.50

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Solution

The third proportional to 54,583 and 81,536.50 is: 121,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583 : 81,536.50 = 81,536.50 : x
  2. Step 2: Convert to fraction form
    54,583/81,536.50 = 81,536.50/x
  3. Step 3: Cross multiply
    54,583x = 81,536.50 × 81,536.50
  4. Step 4: Simplify right side
    54,583x = 6,648,200,832.25
  5. Step 5: Solve for x
    x = 6,648,200,832.25/54,583
  6. Step 6: Final answer
    x = 121,799.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.