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Finding the Third Proportional to 117,041.50 and 179,939.50

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Solution

The third proportional to 117,041.50 and 179,939.50 is: 276,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,041.50 : 179,939.50 = 179,939.50 : x
  2. Step 2: Convert to fraction form
    117,041.50/179,939.50 = 179,939.50/x
  3. Step 3: Cross multiply
    117,041.50x = 179,939.50 × 179,939.50
  4. Step 4: Simplify right side
    117,041.50x = 32,378,223,660.25
  5. Step 5: Solve for x
    x = 32,378,223,660.25/117,041.50
  6. Step 6: Final answer
    x = 276,638.83

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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.