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Finding the Third Proportional to 61,144.88 and 134,318.25

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Solution

The third proportional to 61,144.88 and 134,318.25 is: 295,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,144.88 : 134,318.25 = 134,318.25 : x
  2. Step 2: Convert to fraction form
    61,144.88/134,318.25 = 134,318.25/x
  3. Step 3: Cross multiply
    61,144.88x = 134,318.25 × 134,318.25
  4. Step 4: Simplify right side
    61,144.88x = 18,041,392,283.06
  5. Step 5: Solve for x
    x = 18,041,392,283.06/61,144.88
  6. Step 6: Final answer
    x = 295,059.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.