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Finding the Third Proportional to 26,158 and 53,693

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Solution

The third proportional to 26,158 and 53,693 is: 110,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158 : 53,693 = 53,693 : x
  2. Step 2: Convert to fraction form
    26,158/53,693 = 53,693/x
  3. Step 3: Cross multiply
    26,158x = 53,693 × 53,693
  4. Step 4: Simplify right side
    26,158x = 2,882,938,249
  5. Step 5: Solve for x
    x = 2,882,938,249/26,158
  6. Step 6: Final answer
    x = 110,212.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.