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Finding the Third Proportional to 34,338 and 75,236

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Solution

The third proportional to 34,338 and 75,236 is: 164,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338 : 75,236 = 75,236 : x
  2. Step 2: Convert to fraction form
    34,338/75,236 = 75,236/x
  3. Step 3: Cross multiply
    34,338x = 75,236 × 75,236
  4. Step 4: Simplify right side
    34,338x = 5,660,455,696
  5. Step 5: Solve for x
    x = 5,660,455,696/34,338
  6. Step 6: Final answer
    x = 164,845.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.