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Finding the Third Proportional to 62,178.75 and 133,221.75

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Solution

The third proportional to 62,178.75 and 133,221.75 is: 285,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,178.75 : 133,221.75 = 133,221.75 : x
  2. Step 2: Convert to fraction form
    62,178.75/133,221.75 = 133,221.75/x
  3. Step 3: Cross multiply
    62,178.75x = 133,221.75 × 133,221.75
  4. Step 4: Simplify right side
    62,178.75x = 17,748,034,673.06
  5. Step 5: Solve for x
    x = 17,748,034,673.06/62,178.75
  6. Step 6: Final answer
    x = 285,435.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.