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Finding the Third Proportional to 48,550 and 106,166

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Solution

The third proportional to 48,550 and 106,166 is: 232,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,550 : 106,166 = 106,166 : x
  2. Step 2: Convert to fraction form
    48,550/106,166 = 106,166/x
  3. Step 3: Cross multiply
    48,550x = 106,166 × 106,166
  4. Step 4: Simplify right side
    48,550x = 11,271,219,556
  5. Step 5: Solve for x
    x = 11,271,219,556/48,550
  6. Step 6: Final answer
    x = 232,156.94

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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.