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Finding the Third Proportional to 124,705 and 191,249

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Solution

The third proportional to 124,705 and 191,249 is: 293,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,705 : 191,249 = 191,249 : x
  2. Step 2: Convert to fraction form
    124,705/191,249 = 191,249/x
  3. Step 3: Cross multiply
    124,705x = 191,249 × 191,249
  4. Step 4: Simplify right side
    124,705x = 36,576,180,001
  5. Step 5: Solve for x
    x = 36,576,180,001/124,705
  6. Step 6: Final answer
    x = 293,301.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.