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Finding the Third Proportional to 59,328 and 91,832

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Solution

The third proportional to 59,328 and 91,832 is: 142,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,328 : 91,832 = 91,832 : x
  2. Step 2: Convert to fraction form
    59,328/91,832 = 91,832/x
  3. Step 3: Cross multiply
    59,328x = 91,832 × 91,832
  4. Step 4: Simplify right side
    59,328x = 8,433,116,224
  5. Step 5: Solve for x
    x = 8,433,116,224/59,328
  6. Step 6: Final answer
    x = 142,143.95

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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.