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Finding the Third Proportional to 86,490 and 187,197

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Solution

The third proportional to 86,490 and 187,197 is: 405,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490 : 187,197 = 187,197 : x
  2. Step 2: Convert to fraction form
    86,490/187,197 = 187,197/x
  3. Step 3: Cross multiply
    86,490x = 187,197 × 187,197
  4. Step 4: Simplify right side
    86,490x = 35,042,716,809
  5. Step 5: Solve for x
    x = 35,042,716,809/86,490
  6. Step 6: Final answer
    x = 405,164.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.