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Finding the Third Proportional to 106,056 and 222,312

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Solution

The third proportional to 106,056 and 222,312 is: 466,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056 : 222,312 = 222,312 : x
  2. Step 2: Convert to fraction form
    106,056/222,312 = 222,312/x
  3. Step 3: Cross multiply
    106,056x = 222,312 × 222,312
  4. Step 4: Simplify right side
    106,056x = 49,422,625,344
  5. Step 5: Solve for x
    x = 49,422,625,344/106,056
  6. Step 6: Final answer
    x = 466,004.99

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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.