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Finding the Third Proportional to 46,142 and 100,289

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Solution

The third proportional to 46,142 and 100,289 is: 217,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142 : 100,289 = 100,289 : x
  2. Step 2: Convert to fraction form
    46,142/100,289 = 100,289/x
  3. Step 3: Cross multiply
    46,142x = 100,289 × 100,289
  4. Step 4: Simplify right side
    46,142x = 10,057,883,521
  5. Step 5: Solve for x
    x = 10,057,883,521/46,142
  6. Step 6: Final answer
    x = 217,976.76

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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.