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Finding the Third Proportional to 85,586 and 125,210

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Solution

The third proportional to 85,586 and 125,210 is: 183,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,586 : 125,210 = 125,210 : x
  2. Step 2: Convert to fraction form
    85,586/125,210 = 125,210/x
  3. Step 3: Cross multiply
    85,586x = 125,210 × 125,210
  4. Step 4: Simplify right side
    85,586x = 15,677,544,100
  5. Step 5: Solve for x
    x = 15,677,544,100/85,586
  6. Step 6: Final answer
    x = 183,178.84

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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.