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Finding the Third Proportional to 41,088 and 96,024

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Solution

The third proportional to 41,088 and 96,024 is: 224,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,088 : 96,024 = 96,024 : x
  2. Step 2: Convert to fraction form
    41,088/96,024 = 96,024/x
  3. Step 3: Cross multiply
    41,088x = 96,024 × 96,024
  4. Step 4: Simplify right side
    41,088x = 9,220,608,576
  5. Step 5: Solve for x
    x = 9,220,608,576/41,088
  6. Step 6: Final answer
    x = 224,411.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.