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Finding the Third Proportional to 63,667 and 139,575.50

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Solution

The third proportional to 63,667 and 139,575.50 is: 305,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,667 : 139,575.50 = 139,575.50 : x
  2. Step 2: Convert to fraction form
    63,667/139,575.50 = 139,575.50/x
  3. Step 3: Cross multiply
    63,667x = 139,575.50 × 139,575.50
  4. Step 4: Simplify right side
    63,667x = 19,481,320,200.25
  5. Step 5: Solve for x
    x = 19,481,320,200.25/63,667
  6. Step 6: Final answer
    x = 305,987.72

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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.