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Finding the Third Proportional to 85,212 and 125,190

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Solution

The third proportional to 85,212 and 125,190 is: 183,924.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212 : 125,190 = 125,190 : x
  2. Step 2: Convert to fraction form
    85,212/125,190 = 125,190/x
  3. Step 3: Cross multiply
    85,212x = 125,190 × 125,190
  4. Step 4: Simplify right side
    85,212x = 15,672,536,100
  5. Step 5: Solve for x
    x = 15,672,536,100/85,212
  6. Step 6: Final answer
    x = 183,924.05

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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.