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Finding the Third Proportional to 69,107.63 and 105,845.63

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Solution

The third proportional to 69,107.63 and 105,845.63 is: 162,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,107.63 : 105,845.63 = 105,845.63 : x
  2. Step 2: Convert to fraction form
    69,107.63/105,845.63 = 105,845.63/x
  3. Step 3: Cross multiply
    69,107.63x = 105,845.63 × 105,845.63
  4. Step 4: Simplify right side
    69,107.63x = 11,203,296,331.64
  5. Step 5: Solve for x
    x = 11,203,296,331.64/69,107.63
  6. Step 6: Final answer
    x = 162,113.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.