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Finding the Third Proportional to 85,576.50 and 133,028.58

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Solution

The third proportional to 85,576.50 and 133,028.58 is: 206,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,576.50 : 133,028.58 = 133,028.58 : x
  2. Step 2: Convert to fraction form
    85,576.50/133,028.58 = 133,028.58/x
  3. Step 3: Cross multiply
    85,576.50x = 133,028.58 × 133,028.58
  4. Step 4: Simplify right side
    85,576.50x = 17,696,602,597.96
  5. Step 5: Solve for x
    x = 17,696,602,597.96/85,576.50
  6. Step 6: Final answer
    x = 206,792.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.