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Finding the Third Proportional to 103,971 and 225,423

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Solution

The third proportional to 103,971 and 225,423 is: 488,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971 : 225,423 = 225,423 : x
  2. Step 2: Convert to fraction form
    103,971/225,423 = 225,423/x
  3. Step 3: Cross multiply
    103,971x = 225,423 × 225,423
  4. Step 4: Simplify right side
    103,971x = 50,815,528,929
  5. Step 5: Solve for x
    x = 50,815,528,929/103,971
  6. Step 6: Final answer
    x = 488,747.14

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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.