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Finding the Third Proportional to 46,586 and 100,588

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Solution

The third proportional to 46,586 and 100,588 is: 217,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,586 : 100,588 = 100,588 : x
  2. Step 2: Convert to fraction form
    46,586/100,588 = 100,588/x
  3. Step 3: Cross multiply
    46,586x = 100,588 × 100,588
  4. Step 4: Simplify right side
    46,586x = 10,117,945,744
  5. Step 5: Solve for x
    x = 10,117,945,744/46,586
  6. Step 6: Final answer
    x = 217,188.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.