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Finding the Third Proportional to 59,962 and 93,162

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Solution

The third proportional to 59,962 and 93,162 is: 144,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,962 : 93,162 = 93,162 : x
  2. Step 2: Convert to fraction form
    59,962/93,162 = 93,162/x
  3. Step 3: Cross multiply
    59,962x = 93,162 × 93,162
  4. Step 4: Simplify right side
    59,962x = 8,679,158,244
  5. Step 5: Solve for x
    x = 8,679,158,244/59,962
  6. Step 6: Final answer
    x = 144,744.31

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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.