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Finding the Third Proportional to 49,079.50 and 101,804

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Solution

The third proportional to 49,079.50 and 101,804 is: 211,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,079.50 : 101,804 = 101,804 : x
  2. Step 2: Convert to fraction form
    49,079.50/101,804 = 101,804/x
  3. Step 3: Cross multiply
    49,079.50x = 101,804 × 101,804
  4. Step 4: Simplify right side
    49,079.50x = 10,364,054,416
  5. Step 5: Solve for x
    x = 10,364,054,416/49,079.50
  6. Step 6: Final answer
    x = 211,168.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.