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Finding the Third Proportional to 62,764 and 92,052

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Solution

The third proportional to 62,764 and 92,052 is: 135,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,764 : 92,052 = 92,052 : x
  2. Step 2: Convert to fraction form
    62,764/92,052 = 92,052/x
  3. Step 3: Cross multiply
    62,764x = 92,052 × 92,052
  4. Step 4: Simplify right side
    62,764x = 8,473,570,704
  5. Step 5: Solve for x
    x = 8,473,570,704/62,764
  6. Step 6: Final answer
    x = 135,006.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.