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Finding the Third Proportional to 58,166 and 122,860

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Solution

The third proportional to 58,166 and 122,860 is: 259,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,166 : 122,860 = 122,860 : x
  2. Step 2: Convert to fraction form
    58,166/122,860 = 122,860/x
  3. Step 3: Cross multiply
    58,166x = 122,860 × 122,860
  4. Step 4: Simplify right side
    58,166x = 15,094,579,600
  5. Step 5: Solve for x
    x = 15,094,579,600/58,166
  6. Step 6: Final answer
    x = 259,508.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.