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Finding the Third Proportional to 45,479 and 93,212

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Solution

The third proportional to 45,479 and 93,212 is: 191,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,479 : 93,212 = 93,212 : x
  2. Step 2: Convert to fraction form
    45,479/93,212 = 93,212/x
  3. Step 3: Cross multiply
    45,479x = 93,212 × 93,212
  4. Step 4: Simplify right side
    45,479x = 8,688,476,944
  5. Step 5: Solve for x
    x = 8,688,476,944/45,479
  6. Step 6: Final answer
    x = 191,043.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.