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Finding the Third Proportional to 86,492 and 131,482

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Solution

The third proportional to 86,492 and 131,482 is: 199,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,492 : 131,482 = 131,482 : x
  2. Step 2: Convert to fraction form
    86,492/131,482 = 131,482/x
  3. Step 3: Cross multiply
    86,492x = 131,482 × 131,482
  4. Step 4: Simplify right side
    86,492x = 17,287,516,324
  5. Step 5: Solve for x
    x = 17,287,516,324/86,492
  6. Step 6: Final answer
    x = 199,874.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.