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Finding the Third Proportional to 131,572 and 204,100

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Solution

The third proportional to 131,572 and 204,100 is: 316,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,572 : 204,100 = 204,100 : x
  2. Step 2: Convert to fraction form
    131,572/204,100 = 204,100/x
  3. Step 3: Cross multiply
    131,572x = 204,100 × 204,100
  4. Step 4: Simplify right side
    131,572x = 41,656,810,000
  5. Step 5: Solve for x
    x = 41,656,810,000/131,572
  6. Step 6: Final answer
    x = 316,608.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.