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Finding the Third Proportional to 62,309.63 and 135,135.75

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Solution

The third proportional to 62,309.63 and 135,135.75 is: 293,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,309.63 : 135,135.75 = 135,135.75 : x
  2. Step 2: Convert to fraction form
    62,309.63/135,135.75 = 135,135.75/x
  3. Step 3: Cross multiply
    62,309.63x = 135,135.75 × 135,135.75
  4. Step 4: Simplify right side
    62,309.63x = 18,261,670,928.06
  5. Step 5: Solve for x
    x = 18,261,670,928.06/62,309.63
  6. Step 6: Final answer
    x = 293,079.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.