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Finding the Third Proportional to 45,035 and 104,258

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Solution

The third proportional to 45,035 and 104,258 is: 241,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,035 : 104,258 = 104,258 : x
  2. Step 2: Convert to fraction form
    45,035/104,258 = 104,258/x
  3. Step 3: Cross multiply
    45,035x = 104,258 × 104,258
  4. Step 4: Simplify right side
    45,035x = 10,869,730,564
  5. Step 5: Solve for x
    x = 10,869,730,564/45,035
  6. Step 6: Final answer
    x = 241,361.84

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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.