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Finding the Third Proportional to 54,329.06 and 86,448.09

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Solution

The third proportional to 54,329.06 and 86,448.09 is: 137,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,329.06 : 86,448.09 = 86,448.09 : x
  2. Step 2: Convert to fraction form
    54,329.06/86,448.09 = 86,448.09/x
  3. Step 3: Cross multiply
    54,329.06x = 86,448.09 × 86,448.09
  4. Step 4: Simplify right side
    54,329.06x = 7,473,272,913.01
  5. Step 5: Solve for x
    x = 7,473,272,913.01/54,329.06
  6. Step 6: Final answer
    x = 137,555.71

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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.