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Finding the Third Proportional to 74,806.03 and 114,976.97

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Solution

The third proportional to 74,806.03 and 114,976.97 is: 176,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,806.03 : 114,976.97 = 114,976.97 : x
  2. Step 2: Convert to fraction form
    74,806.03/114,976.97 = 114,976.97/x
  3. Step 3: Cross multiply
    74,806.03x = 114,976.97 × 114,976.97
  4. Step 4: Simplify right side
    74,806.03x = 13,219,703,342.94
  5. Step 5: Solve for x
    x = 13,219,703,342.94/74,806.03
  6. Step 6: Final answer
    x = 176,719.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.