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Finding the Third Proportional to 109,620 and 164,431

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Solution

The third proportional to 109,620 and 164,431 is: 246,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,620 : 164,431 = 164,431 : x
  2. Step 2: Convert to fraction form
    109,620/164,431 = 164,431/x
  3. Step 3: Cross multiply
    109,620x = 164,431 × 164,431
  4. Step 4: Simplify right side
    109,620x = 27,037,553,761
  5. Step 5: Solve for x
    x = 27,037,553,761/109,620
  6. Step 6: Final answer
    x = 246,648.00

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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.