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Finding the Third Proportional to 53,608.31 and 78,853.31

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Solution

The third proportional to 53,608.31 and 78,853.31 is: 115,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608.31 : 78,853.31 = 78,853.31 : x
  2. Step 2: Convert to fraction form
    53,608.31/78,853.31 = 78,853.31/x
  3. Step 3: Cross multiply
    53,608.31x = 78,853.31 × 78,853.31
  4. Step 4: Simplify right side
    53,608.31x = 6,217,844,892.22
  5. Step 5: Solve for x
    x = 6,217,844,892.22/53,608.31
  6. Step 6: Final answer
    x = 115,986.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.