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Finding the Third Proportional to 85,584 and 125,206

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Solution

The third proportional to 85,584 and 125,206 is: 183,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584 : 125,206 = 125,206 : x
  2. Step 2: Convert to fraction form
    85,584/125,206 = 125,206/x
  3. Step 3: Cross multiply
    85,584x = 125,206 × 125,206
  4. Step 4: Simplify right side
    85,584x = 15,676,542,436
  5. Step 5: Solve for x
    x = 15,676,542,436/85,584
  6. Step 6: Final answer
    x = 183,171.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.