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Finding the Third Proportional to 106,971 and 166,307

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Solution

The third proportional to 106,971 and 166,307 is: 258,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,971 : 166,307 = 166,307 : x
  2. Step 2: Convert to fraction form
    106,971/166,307 = 166,307/x
  3. Step 3: Cross multiply
    106,971x = 166,307 × 166,307
  4. Step 4: Simplify right side
    106,971x = 27,658,018,249
  5. Step 5: Solve for x
    x = 27,658,018,249/106,971
  6. Step 6: Final answer
    x = 258,556.23

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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.