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Finding the Third Proportional to 73,236 and 109,855.50

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Solution

The third proportional to 73,236 and 109,855.50 is: 164,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,236 : 109,855.50 = 109,855.50 : x
  2. Step 2: Convert to fraction form
    73,236/109,855.50 = 109,855.50/x
  3. Step 3: Cross multiply
    73,236x = 109,855.50 × 109,855.50
  4. Step 4: Simplify right side
    73,236x = 12,068,230,880.25
  5. Step 5: Solve for x
    x = 12,068,230,880.25/73,236
  6. Step 6: Final answer
    x = 164,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.