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Finding the Third Proportional to 106,236 and 164,498

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Solution

The third proportional to 106,236 and 164,498 is: 254,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,236 : 164,498 = 164,498 : x
  2. Step 2: Convert to fraction form
    106,236/164,498 = 164,498/x
  3. Step 3: Cross multiply
    106,236x = 164,498 × 164,498
  4. Step 4: Simplify right side
    106,236x = 27,059,592,004
  5. Step 5: Solve for x
    x = 27,059,592,004/106,236
  6. Step 6: Final answer
    x = 254,712.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.