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Finding the Third Proportional to 69,072.75 and 127,622.25

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Solution

The third proportional to 69,072.75 and 127,622.25 is: 235,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,072.75 : 127,622.25 = 127,622.25 : x
  2. Step 2: Convert to fraction form
    69,072.75/127,622.25 = 127,622.25/x
  3. Step 3: Cross multiply
    69,072.75x = 127,622.25 × 127,622.25
  4. Step 4: Simplify right side
    69,072.75x = 16,287,438,695.06
  5. Step 5: Solve for x
    x = 16,287,438,695.06/69,072.75
  6. Step 6: Final answer
    x = 235,801.22

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.