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Finding the Third Proportional to 63,302 and 136,636

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Solution

The third proportional to 63,302 and 136,636 is: 294,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,302 : 136,636 = 136,636 : x
  2. Step 2: Convert to fraction form
    63,302/136,636 = 136,636/x
  3. Step 3: Cross multiply
    63,302x = 136,636 × 136,636
  4. Step 4: Simplify right side
    63,302x = 18,669,396,496
  5. Step 5: Solve for x
    x = 18,669,396,496/63,302
  6. Step 6: Final answer
    x = 294,925.86

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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.