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Finding the Third Proportional to 109,816 and 164,232

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Solution

The third proportional to 109,816 and 164,232 is: 245,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,816 : 164,232 = 164,232 : x
  2. Step 2: Convert to fraction form
    109,816/164,232 = 164,232/x
  3. Step 3: Cross multiply
    109,816x = 164,232 × 164,232
  4. Step 4: Simplify right side
    109,816x = 26,972,149,824
  5. Step 5: Solve for x
    x = 26,972,149,824/109,816
  6. Step 6: Final answer
    x = 245,612.20

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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.