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Finding the Third Proportional to 106,579 and 164,243

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Solution

The third proportional to 106,579 and 164,243 is: 253,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,579 : 164,243 = 164,243 : x
  2. Step 2: Convert to fraction form
    106,579/164,243 = 164,243/x
  3. Step 3: Cross multiply
    106,579x = 164,243 × 164,243
  4. Step 4: Simplify right side
    106,579x = 26,975,763,049
  5. Step 5: Solve for x
    x = 26,975,763,049/106,579
  6. Step 6: Final answer
    x = 253,105.80

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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.