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Finding the Third Proportional to 106,134 and 223,209

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Solution

The third proportional to 106,134 and 223,209 is: 469,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,134 : 223,209 = 223,209 : x
  2. Step 2: Convert to fraction form
    106,134/223,209 = 223,209/x
  3. Step 3: Cross multiply
    106,134x = 223,209 × 223,209
  4. Step 4: Simplify right side
    106,134x = 49,822,257,681
  5. Step 5: Solve for x
    x = 49,822,257,681/106,134
  6. Step 6: Final answer
    x = 469,427.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.