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Finding the Third Proportional to 102,941 and 153,806

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Solution

The third proportional to 102,941 and 153,806 is: 229,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,941 : 153,806 = 153,806 : x
  2. Step 2: Convert to fraction form
    102,941/153,806 = 153,806/x
  3. Step 3: Cross multiply
    102,941x = 153,806 × 153,806
  4. Step 4: Simplify right side
    102,941x = 23,656,285,636
  5. Step 5: Solve for x
    x = 23,656,285,636/102,941
  6. Step 6: Final answer
    x = 229,804.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.