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Finding the Third Proportional to 105,945 and 232,122

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Solution

The third proportional to 105,945 and 232,122 is: 508,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,945 : 232,122 = 232,122 : x
  2. Step 2: Convert to fraction form
    105,945/232,122 = 232,122/x
  3. Step 3: Cross multiply
    105,945x = 232,122 × 232,122
  4. Step 4: Simplify right side
    105,945x = 53,880,622,884
  5. Step 5: Solve for x
    x = 53,880,622,884/105,945
  6. Step 6: Final answer
    x = 508,571.64

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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.