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Finding the Third Proportional to 63,782 and 139,222

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Solution

The third proportional to 63,782 and 139,222 is: 303,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782 : 139,222 = 139,222 : x
  2. Step 2: Convert to fraction form
    63,782/139,222 = 139,222/x
  3. Step 3: Cross multiply
    63,782x = 139,222 × 139,222
  4. Step 4: Simplify right side
    63,782x = 19,382,765,284
  5. Step 5: Solve for x
    x = 19,382,765,284/63,782
  6. Step 6: Final answer
    x = 303,890.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.