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Finding the Third Proportional to 58,153 and 92,234

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Solution

The third proportional to 58,153 and 92,234 is: 146,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,153 : 92,234 = 92,234 : x
  2. Step 2: Convert to fraction form
    58,153/92,234 = 92,234/x
  3. Step 3: Cross multiply
    58,153x = 92,234 × 92,234
  4. Step 4: Simplify right side
    58,153x = 8,507,110,756
  5. Step 5: Solve for x
    x = 8,507,110,756/58,153
  6. Step 6: Final answer
    x = 146,288.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.