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Finding the Third Proportional to 45,972 and 93,879

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Solution

The third proportional to 45,972 and 93,879 is: 191,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,972 : 93,879 = 93,879 : x
  2. Step 2: Convert to fraction form
    45,972/93,879 = 93,879/x
  3. Step 3: Cross multiply
    45,972x = 93,879 × 93,879
  4. Step 4: Simplify right side
    45,972x = 8,813,266,641
  5. Step 5: Solve for x
    x = 8,813,266,641/45,972
  6. Step 6: Final answer
    x = 191,709.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.