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Finding the Third Proportional to 46,043 and 101,766

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Solution

The third proportional to 46,043 and 101,766 is: 224,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,043 : 101,766 = 101,766 : x
  2. Step 2: Convert to fraction form
    46,043/101,766 = 101,766/x
  3. Step 3: Cross multiply
    46,043x = 101,766 × 101,766
  4. Step 4: Simplify right side
    46,043x = 10,356,318,756
  5. Step 5: Solve for x
    x = 10,356,318,756/46,043
  6. Step 6: Final answer
    x = 224,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.