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Finding the Third Proportional to 46,063 and 99,172

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Solution

The third proportional to 46,063 and 99,172 is: 213,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,063 : 99,172 = 99,172 : x
  2. Step 2: Convert to fraction form
    46,063/99,172 = 99,172/x
  3. Step 3: Cross multiply
    46,063x = 99,172 × 99,172
  4. Step 4: Simplify right side
    46,063x = 9,835,085,584
  5. Step 5: Solve for x
    x = 9,835,085,584/46,063
  6. Step 6: Final answer
    x = 213,513.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.