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Finding the Third Proportional to 63,994 and 139,633.75

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Solution

The third proportional to 63,994 and 139,633.75 is: 304,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,994 : 139,633.75 = 139,633.75 : x
  2. Step 2: Convert to fraction form
    63,994/139,633.75 = 139,633.75/x
  3. Step 3: Cross multiply
    63,994x = 139,633.75 × 139,633.75
  4. Step 4: Simplify right side
    63,994x = 19,497,584,139.06
  5. Step 5: Solve for x
    x = 19,497,584,139.06/63,994
  6. Step 6: Final answer
    x = 304,678.32

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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.