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Finding the Third Proportional to 131,515 and 186,091

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Solution

The third proportional to 131,515 and 186,091 is: 263,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,515 : 186,091 = 186,091 : x
  2. Step 2: Convert to fraction form
    131,515/186,091 = 186,091/x
  3. Step 3: Cross multiply
    131,515x = 186,091 × 186,091
  4. Step 4: Simplify right side
    131,515x = 34,629,860,281
  5. Step 5: Solve for x
    x = 34,629,860,281/131,515
  6. Step 6: Final answer
    x = 263,314.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.