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Finding the Third Proportional to 92,148 and 194,130

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Solution

The third proportional to 92,148 and 194,130 is: 408,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,148 : 194,130 = 194,130 : x
  2. Step 2: Convert to fraction form
    92,148/194,130 = 194,130/x
  3. Step 3: Cross multiply
    92,148x = 194,130 × 194,130
  4. Step 4: Simplify right side
    92,148x = 37,686,456,900
  5. Step 5: Solve for x
    x = 37,686,456,900/92,148
  6. Step 6: Final answer
    x = 408,977.48

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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.