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Finding the Third Proportional to 62,123.06 and 82,768.13

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Solution

The third proportional to 62,123.06 and 82,768.13 is: 110,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,123.06 : 82,768.13 = 82,768.13 : x
  2. Step 2: Convert to fraction form
    62,123.06/82,768.13 = 82,768.13/x
  3. Step 3: Cross multiply
    62,123.06x = 82,768.13 × 82,768.13
  4. Step 4: Simplify right side
    62,123.06x = 6,850,562,516.02
  5. Step 5: Solve for x
    x = 6,850,562,516.02/62,123.06
  6. Step 6: Final answer
    x = 110,274.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.