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Finding the Third Proportional to 69,185 and 151,913

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Solution

The third proportional to 69,185 and 151,913 is: 333,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,185 : 151,913 = 151,913 : x
  2. Step 2: Convert to fraction form
    69,185/151,913 = 151,913/x
  3. Step 3: Cross multiply
    69,185x = 151,913 × 151,913
  4. Step 4: Simplify right side
    69,185x = 23,077,559,569
  5. Step 5: Solve for x
    x = 23,077,559,569/69,185
  6. Step 6: Final answer
    x = 333,563.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.