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Finding the Third Proportional to 44,135.75 and 96,524

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Solution

The third proportional to 44,135.75 and 96,524 is: 211,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,135.75 : 96,524 = 96,524 : x
  2. Step 2: Convert to fraction form
    44,135.75/96,524 = 96,524/x
  3. Step 3: Cross multiply
    44,135.75x = 96,524 × 96,524
  4. Step 4: Simplify right side
    44,135.75x = 9,316,882,576
  5. Step 5: Solve for x
    x = 9,316,882,576/44,135.75
  6. Step 6: Final answer
    x = 211,096.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.