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Finding the Third Proportional to 45,364 and 104,122

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Solution

The third proportional to 45,364 and 104,122 is: 238,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,364 : 104,122 = 104,122 : x
  2. Step 2: Convert to fraction form
    45,364/104,122 = 104,122/x
  3. Step 3: Cross multiply
    45,364x = 104,122 × 104,122
  4. Step 4: Simplify right side
    45,364x = 10,841,390,884
  5. Step 5: Solve for x
    x = 10,841,390,884/45,364
  6. Step 6: Final answer
    x = 238,986.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.