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Finding the Third Proportional to 124,769 and 193,170

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Solution

The third proportional to 124,769 and 193,170 is: 299,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,769 : 193,170 = 193,170 : x
  2. Step 2: Convert to fraction form
    124,769/193,170 = 193,170/x
  3. Step 3: Cross multiply
    124,769x = 193,170 × 193,170
  4. Step 4: Simplify right side
    124,769x = 37,314,648,900
  5. Step 5: Solve for x
    x = 37,314,648,900/124,769
  6. Step 6: Final answer
    x = 299,069.87

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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.