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Finding the Third Proportional to 46,089 and 100,521

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Solution

The third proportional to 46,089 and 100,521 is: 219,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089 : 100,521 = 100,521 : x
  2. Step 2: Convert to fraction form
    46,089/100,521 = 100,521/x
  3. Step 3: Cross multiply
    46,089x = 100,521 × 100,521
  4. Step 4: Simplify right side
    46,089x = 10,104,471,441
  5. Step 5: Solve for x
    x = 10,104,471,441/46,089
  6. Step 6: Final answer
    x = 219,238.24

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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.