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Finding the Third Proportional to 29,362 and 61,156

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Solution

The third proportional to 29,362 and 61,156 is: 127,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,362 : 61,156 = 61,156 : x
  2. Step 2: Convert to fraction form
    29,362/61,156 = 61,156/x
  3. Step 3: Cross multiply
    29,362x = 61,156 × 61,156
  4. Step 4: Simplify right side
    29,362x = 3,740,056,336
  5. Step 5: Solve for x
    x = 3,740,056,336/29,362
  6. Step 6: Final answer
    x = 127,377.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.