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Finding the Third Proportional to 65,860 and 139,558

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Solution

The third proportional to 65,860 and 139,558 is: 295,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,860 : 139,558 = 139,558 : x
  2. Step 2: Convert to fraction form
    65,860/139,558 = 139,558/x
  3. Step 3: Cross multiply
    65,860x = 139,558 × 139,558
  4. Step 4: Simplify right side
    65,860x = 19,476,435,364
  5. Step 5: Solve for x
    x = 19,476,435,364/65,860
  6. Step 6: Final answer
    x = 295,724.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.