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Finding the Third Proportional to 59,812 and 93,836

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Solution

The third proportional to 59,812 and 93,836 is: 147,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,812 : 93,836 = 93,836 : x
  2. Step 2: Convert to fraction form
    59,812/93,836 = 93,836/x
  3. Step 3: Cross multiply
    59,812x = 93,836 × 93,836
  4. Step 4: Simplify right side
    59,812x = 8,805,194,896
  5. Step 5: Solve for x
    x = 8,805,194,896/59,812
  6. Step 6: Final answer
    x = 147,214.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.