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Finding the Third Proportional to 54,583 and 86,796.38

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Solution

The third proportional to 54,583 and 86,796.38 is: 138,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,583 : 86,796.38 = 86,796.38 : x
  2. Step 2: Convert to fraction form
    54,583/86,796.38 = 86,796.38/x
  3. Step 3: Cross multiply
    54,583x = 86,796.38 × 86,796.38
  4. Step 4: Simplify right side
    54,583x = 7,533,610,713.14
  5. Step 5: Solve for x
    x = 7,533,610,713.14/54,583
  6. Step 6: Final answer
    x = 138,021.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.