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Finding the Third Proportional to 49,627.50 and 108,002.25

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Solution

The third proportional to 49,627.50 and 108,002.25 is: 235,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,627.50 : 108,002.25 = 108,002.25 : x
  2. Step 2: Convert to fraction form
    49,627.50/108,002.25 = 108,002.25/x
  3. Step 3: Cross multiply
    49,627.50x = 108,002.25 × 108,002.25
  4. Step 4: Simplify right side
    49,627.50x = 11,664,486,005.06
  5. Step 5: Solve for x
    x = 11,664,486,005.06/49,627.50
  6. Step 6: Final answer
    x = 235,040.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.