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Finding the Third Proportional to 65,544 and 139,667.25

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Solution

The third proportional to 65,544 and 139,667.25 is: 297,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,544 : 139,667.25 = 139,667.25 : x
  2. Step 2: Convert to fraction form
    65,544/139,667.25 = 139,667.25/x
  3. Step 3: Cross multiply
    65,544x = 139,667.25 × 139,667.25
  4. Step 4: Simplify right side
    65,544x = 19,506,940,722.56
  5. Step 5: Solve for x
    x = 19,506,940,722.56/65,544
  6. Step 6: Final answer
    x = 297,615.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.