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Finding the Third Proportional to 69,346 and 135,236

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Solution

The third proportional to 69,346 and 135,236 is: 263,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346 : 135,236 = 135,236 : x
  2. Step 2: Convert to fraction form
    69,346/135,236 = 135,236/x
  3. Step 3: Cross multiply
    69,346x = 135,236 × 135,236
  4. Step 4: Simplify right side
    69,346x = 18,288,775,696
  5. Step 5: Solve for x
    x = 18,288,775,696/69,346
  6. Step 6: Final answer
    x = 263,732.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.