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Finding the Third Proportional to 54,264.94 and 86,644.69

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Solution

The third proportional to 54,264.94 and 86,644.69 is: 138,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,264.94 : 86,644.69 = 86,644.69 : x
  2. Step 2: Convert to fraction form
    54,264.94/86,644.69 = 86,644.69/x
  3. Step 3: Cross multiply
    54,264.94x = 86,644.69 × 86,644.69
  4. Step 4: Simplify right side
    54,264.94x = 7,507,301,871.97
  5. Step 5: Solve for x
    x = 7,507,301,871.97/54,264.94
  6. Step 6: Final answer
    x = 138,345.35

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.