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Finding the Third Proportional to 44,070 and 93,162

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Solution

The third proportional to 44,070 and 93,162 is: 196,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,070 : 93,162 = 93,162 : x
  2. Step 2: Convert to fraction form
    44,070/93,162 = 93,162/x
  3. Step 3: Cross multiply
    44,070x = 93,162 × 93,162
  4. Step 4: Simplify right side
    44,070x = 8,679,158,244
  5. Step 5: Solve for x
    x = 8,679,158,244/44,070
  6. Step 6: Final answer
    x = 196,940.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.