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Finding the Third Proportional to 124,939 and 193,247

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Solution

The third proportional to 124,939 and 193,247 is: 298,901.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,939 : 193,247 = 193,247 : x
  2. Step 2: Convert to fraction form
    124,939/193,247 = 193,247/x
  3. Step 3: Cross multiply
    124,939x = 193,247 × 193,247
  4. Step 4: Simplify right side
    124,939x = 37,344,403,009
  5. Step 5: Solve for x
    x = 37,344,403,009/124,939
  6. Step 6: Final answer
    x = 298,901.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.