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Finding the Third Proportional to 51,358 and 107,684

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Solution

The third proportional to 51,358 and 107,684 is: 225,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,358 : 107,684 = 107,684 : x
  2. Step 2: Convert to fraction form
    51,358/107,684 = 107,684/x
  3. Step 3: Cross multiply
    51,358x = 107,684 × 107,684
  4. Step 4: Simplify right side
    51,358x = 11,595,843,856
  5. Step 5: Solve for x
    x = 11,595,843,856/51,358
  6. Step 6: Final answer
    x = 225,784.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.