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Finding the Third Proportional to 106,446 and 163,664

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Solution

The third proportional to 106,446 and 163,664 is: 251,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446 : 163,664 = 163,664 : x
  2. Step 2: Convert to fraction form
    106,446/163,664 = 163,664/x
  3. Step 3: Cross multiply
    106,446x = 163,664 × 163,664
  4. Step 4: Simplify right side
    106,446x = 26,785,904,896
  5. Step 5: Solve for x
    x = 26,785,904,896/106,446
  6. Step 6: Final answer
    x = 251,638.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.