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Finding the Third Proportional to 103,070 and 217,212

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Solution

The third proportional to 103,070 and 217,212 is: 457,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,070 : 217,212 = 217,212 : x
  2. Step 2: Convert to fraction form
    103,070/217,212 = 217,212/x
  3. Step 3: Cross multiply
    103,070x = 217,212 × 217,212
  4. Step 4: Simplify right side
    103,070x = 47,181,052,944
  5. Step 5: Solve for x
    x = 47,181,052,944/103,070
  6. Step 6: Final answer
    x = 457,757.38

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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.