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Finding the Third Proportional to 61,693.69 and 132,750.56

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Solution

The third proportional to 61,693.69 and 132,750.56 is: 285,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,693.69 : 132,750.56 = 132,750.56 : x
  2. Step 2: Convert to fraction form
    61,693.69/132,750.56 = 132,750.56/x
  3. Step 3: Cross multiply
    61,693.69x = 132,750.56 × 132,750.56
  4. Step 4: Simplify right side
    61,693.69x = 17,622,711,844.07
  5. Step 5: Solve for x
    x = 17,622,711,844.07/61,693.69
  6. Step 6: Final answer
    x = 285,648.54

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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.