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Finding the Third Proportional to 63,229 and 136,310

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Solution

The third proportional to 63,229 and 136,310 is: 293,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,229 : 136,310 = 136,310 : x
  2. Step 2: Convert to fraction form
    63,229/136,310 = 136,310/x
  3. Step 3: Cross multiply
    63,229x = 136,310 × 136,310
  4. Step 4: Simplify right side
    63,229x = 18,580,416,100
  5. Step 5: Solve for x
    x = 18,580,416,100/63,229
  6. Step 6: Final answer
    x = 293,859.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.