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Finding the Third Proportional to 49,266 and 106,308

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Solution

The third proportional to 49,266 and 106,308 is: 229,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,266 : 106,308 = 106,308 : x
  2. Step 2: Convert to fraction form
    49,266/106,308 = 106,308/x
  3. Step 3: Cross multiply
    49,266x = 106,308 × 106,308
  4. Step 4: Simplify right side
    49,266x = 11,301,390,864
  5. Step 5: Solve for x
    x = 11,301,390,864/49,266
  6. Step 6: Final answer
    x = 229,395.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.