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Finding the Third Proportional to 131,286 and 185,781

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Solution

The third proportional to 131,286 and 185,781 is: 262,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,286 : 185,781 = 185,781 : x
  2. Step 2: Convert to fraction form
    131,286/185,781 = 185,781/x
  3. Step 3: Cross multiply
    131,286x = 185,781 × 185,781
  4. Step 4: Simplify right side
    131,286x = 34,514,579,961
  5. Step 5: Solve for x
    x = 34,514,579,961/131,286
  6. Step 6: Final answer
    x = 262,896.12

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.