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Finding the Third Proportional to 42,576 and 93,792

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Solution

The third proportional to 42,576 and 93,792 is: 206,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,576 : 93,792 = 93,792 : x
  2. Step 2: Convert to fraction form
    42,576/93,792 = 93,792/x
  3. Step 3: Cross multiply
    42,576x = 93,792 × 93,792
  4. Step 4: Simplify right side
    42,576x = 8,796,939,264
  5. Step 5: Solve for x
    x = 8,796,939,264/42,576
  6. Step 6: Final answer
    x = 206,617.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.