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Finding the Third Proportional to 26,500 and 56,158

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Solution

The third proportional to 26,500 and 56,158 is: 119,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500 : 56,158 = 56,158 : x
  2. Step 2: Convert to fraction form
    26,500/56,158 = 56,158/x
  3. Step 3: Cross multiply
    26,500x = 56,158 × 56,158
  4. Step 4: Simplify right side
    26,500x = 3,153,720,964
  5. Step 5: Solve for x
    x = 3,153,720,964/26,500
  6. Step 6: Final answer
    x = 119,008.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.