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Finding the Third Proportional to 137,173.50 and 182,062.69

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Solution

The third proportional to 137,173.50 and 182,062.69 is: 241,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,173.50 : 182,062.69 = 182,062.69 : x
  2. Step 2: Convert to fraction form
    137,173.50/182,062.69 = 182,062.69/x
  3. Step 3: Cross multiply
    137,173.50x = 182,062.69 × 182,062.69
  4. Step 4: Simplify right side
    137,173.50x = 33,146,822,179.72
  5. Step 5: Solve for x
    x = 33,146,822,179.72/137,173.50
  6. Step 6: Final answer
    x = 241,641.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.