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Finding the Third Proportional to 45,792 and 94,524

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Solution

The third proportional to 45,792 and 94,524 is: 195,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,792 : 94,524 = 94,524 : x
  2. Step 2: Convert to fraction form
    45,792/94,524 = 94,524/x
  3. Step 3: Cross multiply
    45,792x = 94,524 × 94,524
  4. Step 4: Simplify right side
    45,792x = 8,934,786,576
  5. Step 5: Solve for x
    x = 8,934,786,576/45,792
  6. Step 6: Final answer
    x = 195,116.76

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.