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Finding the Third Proportional to 106,125 and 232,662

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Solution

The third proportional to 106,125 and 232,662 is: 510,074.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,125 : 232,662 = 232,662 : x
  2. Step 2: Convert to fraction form
    106,125/232,662 = 232,662/x
  3. Step 3: Cross multiply
    106,125x = 232,662 × 232,662
  4. Step 4: Simplify right side
    106,125x = 54,131,606,244
  5. Step 5: Solve for x
    x = 54,131,606,244/106,125
  6. Step 6: Final answer
    x = 510,074.03

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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.