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Finding the Third Proportional to 46,474 and 101,842

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Solution

The third proportional to 46,474 and 101,842 is: 223,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474 : 101,842 = 101,842 : x
  2. Step 2: Convert to fraction form
    46,474/101,842 = 101,842/x
  3. Step 3: Cross multiply
    46,474x = 101,842 × 101,842
  4. Step 4: Simplify right side
    46,474x = 10,371,792,964
  5. Step 5: Solve for x
    x = 10,371,792,964/46,474
  6. Step 6: Final answer
    x = 223,174.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.