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Finding the Third Proportional to 48,946 and 106,881

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Solution

The third proportional to 48,946 and 106,881 is: 233,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,946 : 106,881 = 106,881 : x
  2. Step 2: Convert to fraction form
    48,946/106,881 = 106,881/x
  3. Step 3: Cross multiply
    48,946x = 106,881 × 106,881
  4. Step 4: Simplify right side
    48,946x = 11,423,548,161
  5. Step 5: Solve for x
    x = 11,423,548,161/48,946
  6. Step 6: Final answer
    x = 233,390.84

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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.