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Finding the Third Proportional to 26,188 and 58,184

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Solution

The third proportional to 26,188 and 58,184 is: 129,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,188 : 58,184 = 58,184 : x
  2. Step 2: Convert to fraction form
    26,188/58,184 = 58,184/x
  3. Step 3: Cross multiply
    26,188x = 58,184 × 58,184
  4. Step 4: Simplify right side
    26,188x = 3,385,377,856
  5. Step 5: Solve for x
    x = 3,385,377,856/26,188
  6. Step 6: Final answer
    x = 129,272.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.