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Finding the Third Proportional to 109,203 and 164,573

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Solution

The third proportional to 109,203 and 164,573 is: 248,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,203 : 164,573 = 164,573 : x
  2. Step 2: Convert to fraction form
    109,203/164,573 = 164,573/x
  3. Step 3: Cross multiply
    109,203x = 164,573 × 164,573
  4. Step 4: Simplify right side
    109,203x = 27,084,272,329
  5. Step 5: Solve for x
    x = 27,084,272,329/109,203
  6. Step 6: Final answer
    x = 248,017.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.