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Finding the Third Proportional to 124,630 and 193,343

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Solution

The third proportional to 124,630 and 193,343 is: 299,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,630 : 193,343 = 193,343 : x
  2. Step 2: Convert to fraction form
    124,630/193,343 = 193,343/x
  3. Step 3: Cross multiply
    124,630x = 193,343 × 193,343
  4. Step 4: Simplify right side
    124,630x = 37,381,515,649
  5. Step 5: Solve for x
    x = 37,381,515,649/124,630
  6. Step 6: Final answer
    x = 299,939.95

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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.