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Finding the Third Proportional to 65,884.50 and 141,774.75

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Solution

The third proportional to 65,884.50 and 141,774.75 is: 305,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.50 : 141,774.75 = 141,774.75 : x
  2. Step 2: Convert to fraction form
    65,884.50/141,774.75 = 141,774.75/x
  3. Step 3: Cross multiply
    65,884.50x = 141,774.75 × 141,774.75
  4. Step 4: Simplify right side
    65,884.50x = 20,100,079,737.56
  5. Step 5: Solve for x
    x = 20,100,079,737.56/65,884.50
  6. Step 6: Final answer
    x = 305,080.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.