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Finding the Third Proportional to 50,575.50 and 110,826

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Solution

The third proportional to 50,575.50 and 110,826 is: 242,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,575.50 : 110,826 = 110,826 : x
  2. Step 2: Convert to fraction form
    50,575.50/110,826 = 110,826/x
  3. Step 3: Cross multiply
    50,575.50x = 110,826 × 110,826
  4. Step 4: Simplify right side
    50,575.50x = 12,282,402,276
  5. Step 5: Solve for x
    x = 12,282,402,276/50,575.50
  6. Step 6: Final answer
    x = 242,852.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.