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Finding the Third Proportional to 109,280 and 164,696

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Solution

The third proportional to 109,280 and 164,696 is: 248,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,280 : 164,696 = 164,696 : x
  2. Step 2: Convert to fraction form
    109,280/164,696 = 164,696/x
  3. Step 3: Cross multiply
    109,280x = 164,696 × 164,696
  4. Step 4: Simplify right side
    109,280x = 27,124,772,416
  5. Step 5: Solve for x
    x = 27,124,772,416/109,280
  6. Step 6: Final answer
    x = 248,213.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.