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Finding the Third Proportional to 44,726 and 91,394

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Solution

The third proportional to 44,726 and 91,394 is: 186,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,726 : 91,394 = 91,394 : x
  2. Step 2: Convert to fraction form
    44,726/91,394 = 91,394/x
  3. Step 3: Cross multiply
    44,726x = 91,394 × 91,394
  4. Step 4: Simplify right side
    44,726x = 8,352,863,236
  5. Step 5: Solve for x
    x = 8,352,863,236/44,726
  6. Step 6: Final answer
    x = 186,756.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.