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Finding the Third Proportional to 51,570.75 and 111,583.50

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Solution

The third proportional to 51,570.75 and 111,583.50 is: 241,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,570.75 : 111,583.50 = 111,583.50 : x
  2. Step 2: Convert to fraction form
    51,570.75/111,583.50 = 111,583.50/x
  3. Step 3: Cross multiply
    51,570.75x = 111,583.50 × 111,583.50
  4. Step 4: Simplify right side
    51,570.75x = 12,450,877,472.25
  5. Step 5: Solve for x
    x = 12,450,877,472.25/51,570.75
  6. Step 6: Final answer
    x = 241,432.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.