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Finding the Third Proportional to 131,572 and 204,098

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Solution

The third proportional to 131,572 and 204,098 is: 316,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,572 : 204,098 = 204,098 : x
  2. Step 2: Convert to fraction form
    131,572/204,098 = 204,098/x
  3. Step 3: Cross multiply
    131,572x = 204,098 × 204,098
  4. Step 4: Simplify right side
    131,572x = 41,655,993,604
  5. Step 5: Solve for x
    x = 41,655,993,604/131,572
  6. Step 6: Final answer
    x = 316,602.27

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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.