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Finding the Third Proportional to 85,302 and 133,551

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Solution

The third proportional to 85,302 and 133,551 is: 209,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302 : 133,551 = 133,551 : x
  2. Step 2: Convert to fraction form
    85,302/133,551 = 133,551/x
  3. Step 3: Cross multiply
    85,302x = 133,551 × 133,551
  4. Step 4: Simplify right side
    85,302x = 17,835,869,601
  5. Step 5: Solve for x
    x = 17,835,869,601/85,302
  6. Step 6: Final answer
    x = 209,090.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.