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Finding the Third Proportional to 58,760 and 91,016

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Solution

The third proportional to 58,760 and 91,016 is: 140,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,760 : 91,016 = 91,016 : x
  2. Step 2: Convert to fraction form
    58,760/91,016 = 91,016/x
  3. Step 3: Cross multiply
    58,760x = 91,016 × 91,016
  4. Step 4: Simplify right side
    58,760x = 8,283,912,256
  5. Step 5: Solve for x
    x = 8,283,912,256/58,760
  6. Step 6: Final answer
    x = 140,978.77

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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.