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Finding the Third Proportional to 51,196 and 110,294

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Solution

The third proportional to 51,196 and 110,294 is: 237,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196 : 110,294 = 110,294 : x
  2. Step 2: Convert to fraction form
    51,196/110,294 = 110,294/x
  3. Step 3: Cross multiply
    51,196x = 110,294 × 110,294
  4. Step 4: Simplify right side
    51,196x = 12,164,766,436
  5. Step 5: Solve for x
    x = 12,164,766,436/51,196
  6. Step 6: Final answer
    x = 237,611.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.