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Finding the Third Proportional to 46,960 and 102,032

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Solution

The third proportional to 46,960 and 102,032 is: 221,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,960 : 102,032 = 102,032 : x
  2. Step 2: Convert to fraction form
    46,960/102,032 = 102,032/x
  3. Step 3: Cross multiply
    46,960x = 102,032 × 102,032
  4. Step 4: Simplify right side
    46,960x = 10,410,529,024
  5. Step 5: Solve for x
    x = 10,410,529,024/46,960
  6. Step 6: Final answer
    x = 221,689.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.