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Finding the Third Proportional to 34,107.75 and 69,602.63

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Solution

The third proportional to 34,107.75 and 69,602.63 is: 142,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.75 : 69,602.63 = 69,602.63 : x
  2. Step 2: Convert to fraction form
    34,107.75/69,602.63 = 69,602.63/x
  3. Step 3: Cross multiply
    34,107.75x = 69,602.63 × 69,602.63
  4. Step 4: Simplify right side
    34,107.75x = 4,844,525,406.89
  5. Step 5: Solve for x
    x = 4,844,525,406.89/34,107.75
  6. Step 6: Final answer
    x = 142,035.91

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.