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Finding the Third Proportional to 59,906 and 131,524

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Solution

The third proportional to 59,906 and 131,524 is: 288,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,906 : 131,524 = 131,524 : x
  2. Step 2: Convert to fraction form
    59,906/131,524 = 131,524/x
  3. Step 3: Cross multiply
    59,906x = 131,524 × 131,524
  4. Step 4: Simplify right side
    59,906x = 17,298,562,576
  5. Step 5: Solve for x
    x = 17,298,562,576/59,906
  6. Step 6: Final answer
    x = 288,761.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.