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Finding the Third Proportional to 50,875.88 and 110,508.75

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Solution

The third proportional to 50,875.88 and 110,508.75 is: 240,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,875.88 : 110,508.75 = 110,508.75 : x
  2. Step 2: Convert to fraction form
    50,875.88/110,508.75 = 110,508.75/x
  3. Step 3: Cross multiply
    50,875.88x = 110,508.75 × 110,508.75
  4. Step 4: Simplify right side
    50,875.88x = 12,212,183,826.56
  5. Step 5: Solve for x
    x = 12,212,183,826.56/50,875.88
  6. Step 6: Final answer
    x = 240,038.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.