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Finding the Third Proportional to 44,024 and 96,072

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Solution

The third proportional to 44,024 and 96,072 is: 209,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024 : 96,072 = 96,072 : x
  2. Step 2: Convert to fraction form
    44,024/96,072 = 96,072/x
  3. Step 3: Cross multiply
    44,024x = 96,072 × 96,072
  4. Step 4: Simplify right side
    44,024x = 9,229,829,184
  5. Step 5: Solve for x
    x = 9,229,829,184/44,024
  6. Step 6: Final answer
    x = 209,654.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.