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Finding the Third Proportional to 55,669.25 and 116,809

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Solution

The third proportional to 55,669.25 and 116,809 is: 245,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,669.25 : 116,809 = 116,809 : x
  2. Step 2: Convert to fraction form
    55,669.25/116,809 = 116,809/x
  3. Step 3: Cross multiply
    55,669.25x = 116,809 × 116,809
  4. Step 4: Simplify right side
    55,669.25x = 13,644,342,481
  5. Step 5: Solve for x
    x = 13,644,342,481/55,669.25
  6. Step 6: Final answer
    x = 245,096.57

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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.