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Finding the Third Proportional to 46,742 and 102,051

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Solution

The third proportional to 46,742 and 102,051 is: 222,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,742 : 102,051 = 102,051 : x
  2. Step 2: Convert to fraction form
    46,742/102,051 = 102,051/x
  3. Step 3: Cross multiply
    46,742x = 102,051 × 102,051
  4. Step 4: Simplify right side
    46,742x = 10,414,406,601
  5. Step 5: Solve for x
    x = 10,414,406,601/46,742
  6. Step 6: Final answer
    x = 222,806.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.