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Finding the Third Proportional to 82,541 and 136,567

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Solution

The third proportional to 82,541 and 136,567 is: 225,954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,541 : 136,567 = 136,567 : x
  2. Step 2: Convert to fraction form
    82,541/136,567 = 136,567/x
  3. Step 3: Cross multiply
    82,541x = 136,567 × 136,567
  4. Step 4: Simplify right side
    82,541x = 18,650,545,489
  5. Step 5: Solve for x
    x = 18,650,545,489/82,541
  6. Step 6: Final answer
    x = 225,954.93

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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.