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Finding the Third Proportional to 50,980 and 108,148

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Solution

The third proportional to 50,980 and 108,148 is: 229,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,980 : 108,148 = 108,148 : x
  2. Step 2: Convert to fraction form
    50,980/108,148 = 108,148/x
  3. Step 3: Cross multiply
    50,980x = 108,148 × 108,148
  4. Step 4: Simplify right side
    50,980x = 11,695,989,904
  5. Step 5: Solve for x
    x = 11,695,989,904/50,980
  6. Step 6: Final answer
    x = 229,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.