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Finding the Third Proportional to 82,644.47 and 122,751.70

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Solution

The third proportional to 82,644.47 and 122,751.70 is: 182,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644.47 : 122,751.70 = 122,751.70 : x
  2. Step 2: Convert to fraction form
    82,644.47/122,751.70 = 122,751.70/x
  3. Step 3: Cross multiply
    82,644.47x = 122,751.70 × 122,751.70
  4. Step 4: Simplify right side
    82,644.47x = 15,067,980,620.09
  5. Step 5: Solve for x
    x = 15,067,980,620.09/82,644.47
  6. Step 6: Final answer
    x = 182,322.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.