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Finding the Third Proportional to 59,511 and 131,142

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Solution

The third proportional to 59,511 and 131,142 is: 288,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,511 : 131,142 = 131,142 : x
  2. Step 2: Convert to fraction form
    59,511/131,142 = 131,142/x
  3. Step 3: Cross multiply
    59,511x = 131,142 × 131,142
  4. Step 4: Simplify right side
    59,511x = 17,198,224,164
  5. Step 5: Solve for x
    x = 17,198,224,164/59,511
  6. Step 6: Final answer
    x = 288,992.36

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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.