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Finding the Third Proportional to 103,211 and 164,206

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Solution

The third proportional to 103,211 and 164,206 is: 261,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,211 : 164,206 = 164,206 : x
  2. Step 2: Convert to fraction form
    103,211/164,206 = 164,206/x
  3. Step 3: Cross multiply
    103,211x = 164,206 × 164,206
  4. Step 4: Simplify right side
    103,211x = 26,963,610,436
  5. Step 5: Solve for x
    x = 26,963,610,436/103,211
  6. Step 6: Final answer
    x = 261,247.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.