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Finding the Third Proportional to 85,084.50 and 125,169

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Solution

The third proportional to 85,084.50 and 125,169 is: 184,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.50 : 125,169 = 125,169 : x
  2. Step 2: Convert to fraction form
    85,084.50/125,169 = 125,169/x
  3. Step 3: Cross multiply
    85,084.50x = 125,169 × 125,169
  4. Step 4: Simplify right side
    85,084.50x = 15,667,278,561
  5. Step 5: Solve for x
    x = 15,667,278,561/85,084.50
  6. Step 6: Final answer
    x = 184,137.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.