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Finding the Third Proportional to 45,798 and 94,044

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Solution

The third proportional to 45,798 and 94,044 is: 193,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,798 : 94,044 = 94,044 : x
  2. Step 2: Convert to fraction form
    45,798/94,044 = 94,044/x
  3. Step 3: Cross multiply
    45,798x = 94,044 × 94,044
  4. Step 4: Simplify right side
    45,798x = 8,844,273,936
  5. Step 5: Solve for x
    x = 8,844,273,936/45,798
  6. Step 6: Final answer
    x = 193,114.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.