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Finding the Third Proportional to 82,564 and 136,600

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Solution

The third proportional to 82,564 and 136,600 is: 226,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,564 : 136,600 = 136,600 : x
  2. Step 2: Convert to fraction form
    82,564/136,600 = 136,600/x
  3. Step 3: Cross multiply
    82,564x = 136,600 × 136,600
  4. Step 4: Simplify right side
    82,564x = 18,659,560,000
  5. Step 5: Solve for x
    x = 18,659,560,000/82,564
  6. Step 6: Final answer
    x = 226,001.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.