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Finding the Third Proportional to 44,576 and 94,978

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Solution

The third proportional to 44,576 and 94,978 is: 202,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,576 : 94,978 = 94,978 : x
  2. Step 2: Convert to fraction form
    44,576/94,978 = 94,978/x
  3. Step 3: Cross multiply
    44,576x = 94,978 × 94,978
  4. Step 4: Simplify right side
    44,576x = 9,020,820,484
  5. Step 5: Solve for x
    x = 9,020,820,484/44,576
  6. Step 6: Final answer
    x = 202,369.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.