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Finding the Third Proportional to 53,964 and 81,698

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Solution

The third proportional to 53,964 and 81,698 is: 123,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,964 : 81,698 = 81,698 : x
  2. Step 2: Convert to fraction form
    53,964/81,698 = 81,698/x
  3. Step 3: Cross multiply
    53,964x = 81,698 × 81,698
  4. Step 4: Simplify right side
    53,964x = 6,674,563,204
  5. Step 5: Solve for x
    x = 6,674,563,204/53,964
  6. Step 6: Final answer
    x = 123,685.48

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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.