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Finding the Third Proportional to 53,187.75 and 81,194.06

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Solution

The third proportional to 53,187.75 and 81,194.06 is: 123,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,187.75 : 81,194.06 = 81,194.06 : x
  2. Step 2: Convert to fraction form
    53,187.75/81,194.06 = 81,194.06/x
  3. Step 3: Cross multiply
    53,187.75x = 81,194.06 × 81,194.06
  4. Step 4: Simplify right side
    53,187.75x = 6,592,475,785.25
  5. Step 5: Solve for x
    x = 6,592,475,785.25/53,187.75
  6. Step 6: Final answer
    x = 123,947.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.