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Finding the Third Proportional to 44,289 and 93,582

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Solution

The third proportional to 44,289 and 93,582 is: 197,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,289 : 93,582 = 93,582 : x
  2. Step 2: Convert to fraction form
    44,289/93,582 = 93,582/x
  3. Step 3: Cross multiply
    44,289x = 93,582 × 93,582
  4. Step 4: Simplify right side
    44,289x = 8,757,590,724
  5. Step 5: Solve for x
    x = 8,757,590,724/44,289
  6. Step 6: Final answer
    x = 197,737.38

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.