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Finding the Third Proportional to 50,125.50 and 109,819

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Solution

The third proportional to 50,125.50 and 109,819 is: 240,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,125.50 : 109,819 = 109,819 : x
  2. Step 2: Convert to fraction form
    50,125.50/109,819 = 109,819/x
  3. Step 3: Cross multiply
    50,125.50x = 109,819 × 109,819
  4. Step 4: Simplify right side
    50,125.50x = 12,060,212,761
  5. Step 5: Solve for x
    x = 12,060,212,761/50,125.50
  6. Step 6: Final answer
    x = 240,600.35

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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.