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Finding the Third Proportional to 44,564 and 92,800

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Solution

The third proportional to 44,564 and 92,800 is: 193,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,564 : 92,800 = 92,800 : x
  2. Step 2: Convert to fraction form
    44,564/92,800 = 92,800/x
  3. Step 3: Cross multiply
    44,564x = 92,800 × 92,800
  4. Step 4: Simplify right side
    44,564x = 8,611,840,000
  5. Step 5: Solve for x
    x = 8,611,840,000/44,564
  6. Step 6: Final answer
    x = 193,246.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.