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Finding the Third Proportional to 107,142 and 226,212

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Solution

The third proportional to 107,142 and 226,212 is: 477,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142 : 226,212 = 226,212 : x
  2. Step 2: Convert to fraction form
    107,142/226,212 = 226,212/x
  3. Step 3: Cross multiply
    107,142x = 226,212 × 226,212
  4. Step 4: Simplify right side
    107,142x = 51,171,868,944
  5. Step 5: Solve for x
    x = 51,171,868,944/107,142
  6. Step 6: Final answer
    x = 477,607.93

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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.