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Finding the Third Proportional to 49,006 and 106,312

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Solution

The third proportional to 49,006 and 106,312 is: 230,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006 : 106,312 = 106,312 : x
  2. Step 2: Convert to fraction form
    49,006/106,312 = 106,312/x
  3. Step 3: Cross multiply
    49,006x = 106,312 × 106,312
  4. Step 4: Simplify right side
    49,006x = 11,302,241,344
  5. Step 5: Solve for x
    x = 11,302,241,344/49,006
  6. Step 6: Final answer
    x = 230,629.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.