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Finding the Third Proportional to 53,962 and 84,467

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Solution

The third proportional to 53,962 and 84,467 is: 132,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,962 : 84,467 = 84,467 : x
  2. Step 2: Convert to fraction form
    53,962/84,467 = 84,467/x
  3. Step 3: Cross multiply
    53,962x = 84,467 × 84,467
  4. Step 4: Simplify right side
    53,962x = 7,134,674,089
  5. Step 5: Solve for x
    x = 7,134,674,089/53,962
  6. Step 6: Final answer
    x = 132,216.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.