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Finding the Third Proportional to 45,294 and 92,604

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Solution

The third proportional to 45,294 and 92,604 is: 189,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294 : 92,604 = 92,604 : x
  2. Step 2: Convert to fraction form
    45,294/92,604 = 92,604/x
  3. Step 3: Cross multiply
    45,294x = 92,604 × 92,604
  4. Step 4: Simplify right side
    45,294x = 8,575,500,816
  5. Step 5: Solve for x
    x = 8,575,500,816/45,294
  6. Step 6: Final answer
    x = 189,329.73

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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.