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Finding the Third Proportional to 129,845.53 and 195,622.59

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Solution

The third proportional to 129,845.53 and 195,622.59 is: 294,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,845.53 : 195,622.59 = 195,622.59 : x
  2. Step 2: Convert to fraction form
    129,845.53/195,622.59 = 195,622.59/x
  3. Step 3: Cross multiply
    129,845.53x = 195,622.59 × 195,622.59
  4. Step 4: Simplify right side
    129,845.53x = 38,268,199,185.48
  5. Step 5: Solve for x
    x = 38,268,199,185.48/129,845.53
  6. Step 6: Final answer
    x = 294,720.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.