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Finding the Third Proportional to 49,426 and 107,268

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Solution

The third proportional to 49,426 and 107,268 is: 232,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,426 : 107,268 = 107,268 : x
  2. Step 2: Convert to fraction form
    49,426/107,268 = 107,268/x
  3. Step 3: Cross multiply
    49,426x = 107,268 × 107,268
  4. Step 4: Simplify right side
    49,426x = 11,506,423,824
  5. Step 5: Solve for x
    x = 11,506,423,824/49,426
  6. Step 6: Final answer
    x = 232,801.03

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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.