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Finding the Third Proportional to 61,806.38 and 132,357.38

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Solution

The third proportional to 61,806.38 and 132,357.38 is: 283,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,806.38 : 132,357.38 = 132,357.38 : x
  2. Step 2: Convert to fraction form
    61,806.38/132,357.38 = 132,357.38/x
  3. Step 3: Cross multiply
    61,806.38x = 132,357.38 × 132,357.38
  4. Step 4: Simplify right side
    61,806.38x = 17,518,474,716.89
  5. Step 5: Solve for x
    x = 17,518,474,716.89/61,806.38
  6. Step 6: Final answer
    x = 283,441.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.