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Finding the Third Proportional to 103,910 and 225,532

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Solution

The third proportional to 103,910 and 225,532 is: 489,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910 : 225,532 = 225,532 : x
  2. Step 2: Convert to fraction form
    103,910/225,532 = 225,532/x
  3. Step 3: Cross multiply
    103,910x = 225,532 × 225,532
  4. Step 4: Simplify right side
    103,910x = 50,864,683,024
  5. Step 5: Solve for x
    x = 50,864,683,024/103,910
  6. Step 6: Final answer
    x = 489,507.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.