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Finding the Third Proportional to 137,608.13 and 193,782.38

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Solution

The third proportional to 137,608.13 and 193,782.38 is: 272,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,608.13 : 193,782.38 = 193,782.38 : x
  2. Step 2: Convert to fraction form
    137,608.13/193,782.38 = 193,782.38/x
  3. Step 3: Cross multiply
    137,608.13x = 193,782.38 × 193,782.38
  4. Step 4: Simplify right side
    137,608.13x = 37,551,608,860.64
  5. Step 5: Solve for x
    x = 37,551,608,860.64/137,608.13
  6. Step 6: Final answer
    x = 272,888.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.