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Finding the Third Proportional to 137,660 and 193,858

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Solution

The third proportional to 137,660 and 193,858 is: 272,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,660 : 193,858 = 193,858 : x
  2. Step 2: Convert to fraction form
    137,660/193,858 = 193,858/x
  3. Step 3: Cross multiply
    137,660x = 193,858 × 193,858
  4. Step 4: Simplify right side
    137,660x = 37,580,924,164
  5. Step 5: Solve for x
    x = 37,580,924,164/137,660
  6. Step 6: Final answer
    x = 272,998.14

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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.