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Finding the Third Proportional to 49,266 and 74,262

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Solution

The third proportional to 49,266 and 74,262 is: 111,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,266 : 74,262 = 74,262 : x
  2. Step 2: Convert to fraction form
    49,266/74,262 = 74,262/x
  3. Step 3: Cross multiply
    49,266x = 74,262 × 74,262
  4. Step 4: Simplify right side
    49,266x = 5,514,844,644
  5. Step 5: Solve for x
    x = 5,514,844,644/49,266
  6. Step 6: Final answer
    x = 111,940.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.