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Finding the Third Proportional to 52,106.50 and 106,054

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Solution

The third proportional to 52,106.50 and 106,054 is: 215,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.50 : 106,054 = 106,054 : x
  2. Step 2: Convert to fraction form
    52,106.50/106,054 = 106,054/x
  3. Step 3: Cross multiply
    52,106.50x = 106,054 × 106,054
  4. Step 4: Simplify right side
    52,106.50x = 11,247,450,916
  5. Step 5: Solve for x
    x = 11,247,450,916/52,106.50
  6. Step 6: Final answer
    x = 215,855.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.