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Finding the Third Proportional to 42,040 and 65,094

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Solution

The third proportional to 42,040 and 65,094 is: 100,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,040 : 65,094 = 65,094 : x
  2. Step 2: Convert to fraction form
    42,040/65,094 = 65,094/x
  3. Step 3: Cross multiply
    42,040x = 65,094 × 65,094
  4. Step 4: Simplify right side
    42,040x = 4,237,228,836
  5. Step 5: Solve for x
    x = 4,237,228,836/42,040
  6. Step 6: Final answer
    x = 100,790.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.