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Finding the Third Proportional to 63,182 and 136,205

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Solution

The third proportional to 63,182 and 136,205 is: 293,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,182 : 136,205 = 136,205 : x
  2. Step 2: Convert to fraction form
    63,182/136,205 = 136,205/x
  3. Step 3: Cross multiply
    63,182x = 136,205 × 136,205
  4. Step 4: Simplify right side
    63,182x = 18,551,802,025
  5. Step 5: Solve for x
    x = 18,551,802,025/63,182
  6. Step 6: Final answer
    x = 293,624.80

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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.