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Finding the Third Proportional to 63,032 and 129,214

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Solution

The third proportional to 63,032 and 129,214 is: 264,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,032 : 129,214 = 129,214 : x
  2. Step 2: Convert to fraction form
    63,032/129,214 = 129,214/x
  3. Step 3: Cross multiply
    63,032x = 129,214 × 129,214
  4. Step 4: Simplify right side
    63,032x = 16,696,257,796
  5. Step 5: Solve for x
    x = 16,696,257,796/63,032
  6. Step 6: Final answer
    x = 264,885.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.