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Finding the Third Proportional to 63,782 and 139,046

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Solution

The third proportional to 63,782 and 139,046 is: 303,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,782 : 139,046 = 139,046 : x
  2. Step 2: Convert to fraction form
    63,782/139,046 = 139,046/x
  3. Step 3: Cross multiply
    63,782x = 139,046 × 139,046
  4. Step 4: Simplify right side
    63,782x = 19,333,790,116
  5. Step 5: Solve for x
    x = 19,333,790,116/63,782
  6. Step 6: Final answer
    x = 303,122.98

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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.