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Finding the Third Proportional to 59,784 and 131,556

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Solution

The third proportional to 59,784 and 131,556 is: 289,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,784 : 131,556 = 131,556 : x
  2. Step 2: Convert to fraction form
    59,784/131,556 = 131,556/x
  3. Step 3: Cross multiply
    59,784x = 131,556 × 131,556
  4. Step 4: Simplify right side
    59,784x = 17,306,981,136
  5. Step 5: Solve for x
    x = 17,306,981,136/59,784
  6. Step 6: Final answer
    x = 289,491.86

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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.