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Finding the Third Proportional to 26,158 and 53,707

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Solution

The third proportional to 26,158 and 53,707 is: 110,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158 : 53,707 = 53,707 : x
  2. Step 2: Convert to fraction form
    26,158/53,707 = 53,707/x
  3. Step 3: Cross multiply
    26,158x = 53,707 × 53,707
  4. Step 4: Simplify right side
    26,158x = 2,884,441,849
  5. Step 5: Solve for x
    x = 2,884,441,849/26,158
  6. Step 6: Final answer
    x = 110,269.97

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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.