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Finding the Third Proportional to 109,460 and 164,305

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Solution

The third proportional to 109,460 and 164,305 is: 246,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460 : 164,305 = 164,305 : x
  2. Step 2: Convert to fraction form
    109,460/164,305 = 164,305/x
  3. Step 3: Cross multiply
    109,460x = 164,305 × 164,305
  4. Step 4: Simplify right side
    109,460x = 26,996,133,025
  5. Step 5: Solve for x
    x = 26,996,133,025/109,460
  6. Step 6: Final answer
    x = 246,630.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.