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Finding the Third Proportional to 50,337 and 110,002.50

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Solution

The third proportional to 50,337 and 110,002.50 is: 240,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337 : 110,002.50 = 110,002.50 : x
  2. Step 2: Convert to fraction form
    50,337/110,002.50 = 110,002.50/x
  3. Step 3: Cross multiply
    50,337x = 110,002.50 × 110,002.50
  4. Step 4: Simplify right side
    50,337x = 12,100,550,006.25
  5. Step 5: Solve for x
    x = 12,100,550,006.25/50,337
  6. Step 6: Final answer
    x = 240,390.77

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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.