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Finding the Third Proportional to 63,808 and 139,886

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Solution

The third proportional to 63,808 and 139,886 is: 306,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,808 : 139,886 = 139,886 : x
  2. Step 2: Convert to fraction form
    63,808/139,886 = 139,886/x
  3. Step 3: Cross multiply
    63,808x = 139,886 × 139,886
  4. Step 4: Simplify right side
    63,808x = 19,568,092,996
  5. Step 5: Solve for x
    x = 19,568,092,996/63,808
  6. Step 6: Final answer
    x = 306,671.47

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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.