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Finding the Third Proportional to 50,002.50 and 109,345.50

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Solution

The third proportional to 50,002.50 and 109,345.50 is: 239,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,002.50 : 109,345.50 = 109,345.50 : x
  2. Step 2: Convert to fraction form
    50,002.50/109,345.50 = 109,345.50/x
  3. Step 3: Cross multiply
    50,002.50x = 109,345.50 × 109,345.50
  4. Step 4: Simplify right side
    50,002.50x = 11,956,438,370.25
  5. Step 5: Solve for x
    x = 11,956,438,370.25/50,002.50
  6. Step 6: Final answer
    x = 239,116.81

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