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Finding the Third Proportional to 45,740 and 92,752

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Solution

The third proportional to 45,740 and 92,752 is: 188,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,740 : 92,752 = 92,752 : x
  2. Step 2: Convert to fraction form
    45,740/92,752 = 92,752/x
  3. Step 3: Cross multiply
    45,740x = 92,752 × 92,752
  4. Step 4: Simplify right side
    45,740x = 8,602,933,504
  5. Step 5: Solve for x
    x = 8,602,933,504/45,740
  6. Step 6: Final answer
    x = 188,083.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.