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Finding the Third Proportional to 43,524 and 65,121

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Solution

The third proportional to 43,524 and 65,121 is: 97,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,524 : 65,121 = 65,121 : x
  2. Step 2: Convert to fraction form
    43,524/65,121 = 65,121/x
  3. Step 3: Cross multiply
    43,524x = 65,121 × 65,121
  4. Step 4: Simplify right side
    43,524x = 4,240,744,641
  5. Step 5: Solve for x
    x = 4,240,744,641/43,524
  6. Step 6: Final answer
    x = 97,434.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.