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Finding the Third Proportional to 48,310 and 104,898

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Solution

The third proportional to 48,310 and 104,898 is: 227,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,310 : 104,898 = 104,898 : x
  2. Step 2: Convert to fraction form
    48,310/104,898 = 104,898/x
  3. Step 3: Cross multiply
    48,310x = 104,898 × 104,898
  4. Step 4: Simplify right side
    48,310x = 11,003,590,404
  5. Step 5: Solve for x
    x = 11,003,590,404/48,310
  6. Step 6: Final answer
    x = 227,770.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.