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Finding the Third Proportional to 102,133 and 224,422

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Solution

The third proportional to 102,133 and 224,422 is: 493,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133 : 224,422 = 224,422 : x
  2. Step 2: Convert to fraction form
    102,133/224,422 = 224,422/x
  3. Step 3: Cross multiply
    102,133x = 224,422 × 224,422
  4. Step 4: Simplify right side
    102,133x = 50,365,234,084
  5. Step 5: Solve for x
    x = 50,365,234,084/102,133
  6. Step 6: Final answer
    x = 493,133.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.