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Finding the Third Proportional to 50,312 and 110,224

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Solution

The third proportional to 50,312 and 110,224 is: 241,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,312 : 110,224 = 110,224 : x
  2. Step 2: Convert to fraction form
    50,312/110,224 = 110,224/x
  3. Step 3: Cross multiply
    50,312x = 110,224 × 110,224
  4. Step 4: Simplify right side
    50,312x = 12,149,330,176
  5. Step 5: Solve for x
    x = 12,149,330,176/50,312
  6. Step 6: Final answer
    x = 241,479.77

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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.