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Finding the Third Proportional to 49,310 and 107,946

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Solution

The third proportional to 49,310 and 107,946 is: 236,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310 : 107,946 = 107,946 : x
  2. Step 2: Convert to fraction form
    49,310/107,946 = 107,946/x
  3. Step 3: Cross multiply
    49,310x = 107,946 × 107,946
  4. Step 4: Simplify right side
    49,310x = 11,652,338,916
  5. Step 5: Solve for x
    x = 11,652,338,916/49,310
  6. Step 6: Final answer
    x = 236,307.83

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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.