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Finding the Third Proportional to 106,062.75 and 223,032.75

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Solution

The third proportional to 106,062.75 and 223,032.75 is: 469,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062.75 : 223,032.75 = 223,032.75 : x
  2. Step 2: Convert to fraction form
    106,062.75/223,032.75 = 223,032.75/x
  3. Step 3: Cross multiply
    106,062.75x = 223,032.75 × 223,032.75
  4. Step 4: Simplify right side
    106,062.75x = 49,743,607,572.56
  5. Step 5: Solve for x
    x = 49,743,607,572.56/106,062.75
  6. Step 6: Final answer
    x = 469,001.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.