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Finding the Third Proportional to 103,124 and 217,304

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Solution

The third proportional to 103,124 and 217,304 is: 457,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,124 : 217,304 = 217,304 : x
  2. Step 2: Convert to fraction form
    103,124/217,304 = 217,304/x
  3. Step 3: Cross multiply
    103,124x = 217,304 × 217,304
  4. Step 4: Simplify right side
    103,124x = 47,221,028,416
  5. Step 5: Solve for x
    x = 47,221,028,416/103,124
  6. Step 6: Final answer
    x = 457,905.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.