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Finding the Third Proportional to 44,625 and 92,948

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Solution

The third proportional to 44,625 and 92,948 is: 193,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,625 : 92,948 = 92,948 : x
  2. Step 2: Convert to fraction form
    44,625/92,948 = 92,948/x
  3. Step 3: Cross multiply
    44,625x = 92,948 × 92,948
  4. Step 4: Simplify right side
    44,625x = 8,639,330,704
  5. Step 5: Solve for x
    x = 8,639,330,704/44,625
  6. Step 6: Final answer
    x = 193,598.45

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Why These Related Problems?

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