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Finding the Third Proportional to 131,569 and 204,094

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Solution

The third proportional to 131,569 and 204,094 is: 316,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,569 : 204,094 = 204,094 : x
  2. Step 2: Convert to fraction form
    131,569/204,094 = 204,094/x
  3. Step 3: Cross multiply
    131,569x = 204,094 × 204,094
  4. Step 4: Simplify right side
    131,569x = 41,654,360,836
  5. Step 5: Solve for x
    x = 41,654,360,836/131,569
  6. Step 6: Final answer
    x = 316,597.08

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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.