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Finding the Third Proportional to 63,826 and 139,543

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Solution

The third proportional to 63,826 and 139,543 is: 305,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,826 : 139,543 = 139,543 : x
  2. Step 2: Convert to fraction form
    63,826/139,543 = 139,543/x
  3. Step 3: Cross multiply
    63,826x = 139,543 × 139,543
  4. Step 4: Simplify right side
    63,826x = 19,472,248,849
  5. Step 5: Solve for x
    x = 19,472,248,849/63,826
  6. Step 6: Final answer
    x = 305,083.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.