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Finding the Third Proportional to 65,248 and 139,041

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Solution

The third proportional to 65,248 and 139,041 is: 296,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248 : 139,041 = 139,041 : x
  2. Step 2: Convert to fraction form
    65,248/139,041 = 139,041/x
  3. Step 3: Cross multiply
    65,248x = 139,041 × 139,041
  4. Step 4: Simplify right side
    65,248x = 19,332,399,681
  5. Step 5: Solve for x
    x = 19,332,399,681/65,248
  6. Step 6: Final answer
    x = 296,291.07

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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.