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Finding the Third Proportional to 51,840.75 and 111,052.50

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Solution

The third proportional to 51,840.75 and 111,052.50 is: 237,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.75 : 111,052.50 = 111,052.50 : x
  2. Step 2: Convert to fraction form
    51,840.75/111,052.50 = 111,052.50/x
  3. Step 3: Cross multiply
    51,840.75x = 111,052.50 × 111,052.50
  4. Step 4: Simplify right side
    51,840.75x = 12,332,657,756.25
  5. Step 5: Solve for x
    x = 12,332,657,756.25/51,840.75
  6. Step 6: Final answer
    x = 237,895.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.