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Finding the Third Proportional to 46,134 and 101,069

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Solution

The third proportional to 46,134 and 101,069 is: 221,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,134 : 101,069 = 101,069 : x
  2. Step 2: Convert to fraction form
    46,134/101,069 = 101,069/x
  3. Step 3: Cross multiply
    46,134x = 101,069 × 101,069
  4. Step 4: Simplify right side
    46,134x = 10,214,942,761
  5. Step 5: Solve for x
    x = 10,214,942,761/46,134
  6. Step 6: Final answer
    x = 221,418.97

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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.