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Finding the Third Proportional to 86,108 and 134,264

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Solution

The third proportional to 86,108 and 134,264 is: 209,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,108 : 134,264 = 134,264 : x
  2. Step 2: Convert to fraction form
    86,108/134,264 = 134,264/x
  3. Step 3: Cross multiply
    86,108x = 134,264 × 134,264
  4. Step 4: Simplify right side
    86,108x = 18,026,821,696
  5. Step 5: Solve for x
    x = 18,026,821,696/86,108
  6. Step 6: Final answer
    x = 209,351.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.