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Finding the Third Proportional to 55,251.75 and 84,975.38

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Solution

The third proportional to 55,251.75 and 84,975.38 is: 130,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,251.75 : 84,975.38 = 84,975.38 : x
  2. Step 2: Convert to fraction form
    55,251.75/84,975.38 = 84,975.38/x
  3. Step 3: Cross multiply
    55,251.75x = 84,975.38 × 84,975.38
  4. Step 4: Simplify right side
    55,251.75x = 7,220,814,356.39
  5. Step 5: Solve for x
    x = 7,220,814,356.39/55,251.75
  6. Step 6: Final answer
    x = 130,689.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.