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Finding the Third Proportional to 66,524.63 and 140,541.75

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Solution

The third proportional to 66,524.63 and 140,541.75 is: 296,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,524.63 : 140,541.75 = 140,541.75 : x
  2. Step 2: Convert to fraction form
    66,524.63/140,541.75 = 140,541.75/x
  3. Step 3: Cross multiply
    66,524.63x = 140,541.75 × 140,541.75
  4. Step 4: Simplify right side
    66,524.63x = 19,751,983,493.06
  5. Step 5: Solve for x
    x = 19,751,983,493.06/66,524.63
  6. Step 6: Final answer
    x = 296,912.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.