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Finding the Third Proportional to 58,704 and 90,936

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Solution

The third proportional to 58,704 and 90,936 is: 140,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704 : 90,936 = 90,936 : x
  2. Step 2: Convert to fraction form
    58,704/90,936 = 90,936/x
  3. Step 3: Cross multiply
    58,704x = 90,936 × 90,936
  4. Step 4: Simplify right side
    58,704x = 8,269,356,096
  5. Step 5: Solve for x
    x = 8,269,356,096/58,704
  6. Step 6: Final answer
    x = 140,865.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.