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Finding the Third Proportional to 26,536 and 58,178

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Solution

The third proportional to 26,536 and 58,178 is: 127,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536 : 58,178 = 58,178 : x
  2. Step 2: Convert to fraction form
    26,536/58,178 = 58,178/x
  3. Step 3: Cross multiply
    26,536x = 58,178 × 58,178
  4. Step 4: Simplify right side
    26,536x = 3,384,679,684
  5. Step 5: Solve for x
    x = 3,384,679,684/26,536
  6. Step 6: Final answer
    x = 127,550.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.