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Finding the Third Proportional to 43,104 and 65,040

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Solution

The third proportional to 43,104 and 65,040 is: 98,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,104 : 65,040 = 65,040 : x
  2. Step 2: Convert to fraction form
    43,104/65,040 = 65,040/x
  3. Step 3: Cross multiply
    43,104x = 65,040 × 65,040
  4. Step 4: Simplify right side
    43,104x = 4,230,201,600
  5. Step 5: Solve for x
    x = 4,230,201,600/43,104
  6. Step 6: Final answer
    x = 98,139.42

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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.