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Finding the Third Proportional to 103,222.69 and 159,531.19

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Solution

The third proportional to 103,222.69 and 159,531.19 is: 246,556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,222.69 : 159,531.19 = 159,531.19 : x
  2. Step 2: Convert to fraction form
    103,222.69/159,531.19 = 159,531.19/x
  3. Step 3: Cross multiply
    103,222.69x = 159,531.19 × 159,531.19
  4. Step 4: Simplify right side
    103,222.69x = 25,450,199,785.16
  5. Step 5: Solve for x
    x = 25,450,199,785.16/103,222.69
  6. Step 6: Final answer
    x = 246,556.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.