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Finding the Third Proportional to 102,126 and 223,188

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Solution

The third proportional to 102,126 and 223,188 is: 487,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,126 : 223,188 = 223,188 : x
  2. Step 2: Convert to fraction form
    102,126/223,188 = 223,188/x
  3. Step 3: Cross multiply
    102,126x = 223,188 × 223,188
  4. Step 4: Simplify right side
    102,126x = 49,812,883,344
  5. Step 5: Solve for x
    x = 49,812,883,344/102,126
  6. Step 6: Final answer
    x = 487,759.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.