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Finding the Third Proportional to 47,573.25 and 103,622.25

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Solution

The third proportional to 47,573.25 and 103,622.25 is: 225,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573.25 : 103,622.25 = 103,622.25 : x
  2. Step 2: Convert to fraction form
    47,573.25/103,622.25 = 103,622.25/x
  3. Step 3: Cross multiply
    47,573.25x = 103,622.25 × 103,622.25
  4. Step 4: Simplify right side
    47,573.25x = 10,737,570,695.06
  5. Step 5: Solve for x
    x = 10,737,570,695.06/47,573.25
  6. Step 6: Final answer
    x = 225,706.06

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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.