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Finding the Third Proportional to 48,690 and 106,148

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Solution

The third proportional to 48,690 and 106,148 is: 231,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,690 : 106,148 = 106,148 : x
  2. Step 2: Convert to fraction form
    48,690/106,148 = 106,148/x
  3. Step 3: Cross multiply
    48,690x = 106,148 × 106,148
  4. Step 4: Simplify right side
    48,690x = 11,267,397,904
  5. Step 5: Solve for x
    x = 11,267,397,904/48,690
  6. Step 6: Final answer
    x = 231,410.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.