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Finding the Third Proportional to 72,930 and 159,036

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Solution

The third proportional to 72,930 and 159,036 is: 346,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930 : 159,036 = 159,036 : x
  2. Step 2: Convert to fraction form
    72,930/159,036 = 159,036/x
  3. Step 3: Cross multiply
    72,930x = 159,036 × 159,036
  4. Step 4: Simplify right side
    72,930x = 25,292,449,296
  5. Step 5: Solve for x
    x = 25,292,449,296/72,930
  6. Step 6: Final answer
    x = 346,804.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.