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Finding the Third Proportional to 61,541.94 and 132,500.09

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Solution

The third proportional to 61,541.94 and 132,500.09 is: 285,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,541.94 : 132,500.09 = 132,500.09 : x
  2. Step 2: Convert to fraction form
    61,541.94/132,500.09 = 132,500.09/x
  3. Step 3: Cross multiply
    61,541.94x = 132,500.09 × 132,500.09
  4. Step 4: Simplify right side
    61,541.94x = 17,556,274,843.76
  5. Step 5: Solve for x
    x = 17,556,274,843.76/61,541.94
  6. Step 6: Final answer
    x = 285,273.35

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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.