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Finding the Third Proportional to 106,166 and 232,021

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Solution

The third proportional to 106,166 and 232,021 is: 507,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166 : 232,021 = 232,021 : x
  2. Step 2: Convert to fraction form
    106,166/232,021 = 232,021/x
  3. Step 3: Cross multiply
    106,166x = 232,021 × 232,021
  4. Step 4: Simplify right side
    106,166x = 53,833,744,441
  5. Step 5: Solve for x
    x = 53,833,744,441/106,166
  6. Step 6: Final answer
    x = 507,071.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.