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Finding the Third Proportional to 44,964 and 94,554

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Solution

The third proportional to 44,964 and 94,554 is: 198,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,964 : 94,554 = 94,554 : x
  2. Step 2: Convert to fraction form
    44,964/94,554 = 94,554/x
  3. Step 3: Cross multiply
    44,964x = 94,554 × 94,554
  4. Step 4: Simplify right side
    44,964x = 8,940,458,916
  5. Step 5: Solve for x
    x = 8,940,458,916/44,964
  6. Step 6: Final answer
    x = 198,835.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.