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Finding the Third Proportional to 49,315 and 104,773

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Solution

The third proportional to 49,315 and 104,773 is: 222,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,315 : 104,773 = 104,773 : x
  2. Step 2: Convert to fraction form
    49,315/104,773 = 104,773/x
  3. Step 3: Cross multiply
    49,315x = 104,773 × 104,773
  4. Step 4: Simplify right side
    49,315x = 10,977,381,529
  5. Step 5: Solve for x
    x = 10,977,381,529/49,315
  6. Step 6: Final answer
    x = 222,597.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.