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Finding the Third Proportional to 48,840 and 100,273

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Solution

The third proportional to 48,840 and 100,273 is: 205,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,840 : 100,273 = 100,273 : x
  2. Step 2: Convert to fraction form
    48,840/100,273 = 100,273/x
  3. Step 3: Cross multiply
    48,840x = 100,273 × 100,273
  4. Step 4: Simplify right side
    48,840x = 10,054,674,529
  5. Step 5: Solve for x
    x = 10,054,674,529/48,840
  6. Step 6: Final answer
    x = 205,869.67

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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.