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Finding the Third Proportional to 45,018 and 104,222

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Solution

The third proportional to 45,018 and 104,222 is: 241,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,018 : 104,222 = 104,222 : x
  2. Step 2: Convert to fraction form
    45,018/104,222 = 104,222/x
  3. Step 3: Cross multiply
    45,018x = 104,222 × 104,222
  4. Step 4: Simplify right side
    45,018x = 10,862,225,284
  5. Step 5: Solve for x
    x = 10,862,225,284/45,018
  6. Step 6: Final answer
    x = 241,286.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.