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Finding the Third Proportional to 65,040 and 141,869

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Solution

The third proportional to 65,040 and 141,869 is: 309,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040 : 141,869 = 141,869 : x
  2. Step 2: Convert to fraction form
    65,040/141,869 = 141,869/x
  3. Step 3: Cross multiply
    65,040x = 141,869 × 141,869
  4. Step 4: Simplify right side
    65,040x = 20,126,813,161
  5. Step 5: Solve for x
    x = 20,126,813,161/65,040
  6. Step 6: Final answer
    x = 309,452.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.