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Finding the Third Proportional to 59,704 and 125,144

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Solution

The third proportional to 59,704 and 125,144 is: 262,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,704 : 125,144 = 125,144 : x
  2. Step 2: Convert to fraction form
    59,704/125,144 = 125,144/x
  3. Step 3: Cross multiply
    59,704x = 125,144 × 125,144
  4. Step 4: Simplify right side
    59,704x = 15,661,020,736
  5. Step 5: Solve for x
    x = 15,661,020,736/59,704
  6. Step 6: Final answer
    x = 262,311.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.