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Finding the Third Proportional to 50,957 and 111,169

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Solution

The third proportional to 50,957 and 111,169 is: 242,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,957 : 111,169 = 111,169 : x
  2. Step 2: Convert to fraction form
    50,957/111,169 = 111,169/x
  3. Step 3: Cross multiply
    50,957x = 111,169 × 111,169
  4. Step 4: Simplify right side
    50,957x = 12,358,546,561
  5. Step 5: Solve for x
    x = 12,358,546,561/50,957
  6. Step 6: Final answer
    x = 242,528.93

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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.