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Finding the Third Proportional to 75,200.06 and 163,367.72

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Solution

The third proportional to 75,200.06 and 163,367.72 is: 354,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.06 : 163,367.72 = 163,367.72 : x
  2. Step 2: Convert to fraction form
    75,200.06/163,367.72 = 163,367.72/x
  3. Step 3: Cross multiply
    75,200.06x = 163,367.72 × 163,367.72
  4. Step 4: Simplify right side
    75,200.06x = 26,689,011,529.58
  5. Step 5: Solve for x
    x = 26,689,011,529.58/75,200.06
  6. Step 6: Final answer
    x = 354,906.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.