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Finding the Third Proportional to 46,721 and 100,570

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Solution

The third proportional to 46,721 and 100,570 is: 216,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,721 : 100,570 = 100,570 : x
  2. Step 2: Convert to fraction form
    46,721/100,570 = 100,570/x
  3. Step 3: Cross multiply
    46,721x = 100,570 × 100,570
  4. Step 4: Simplify right side
    46,721x = 10,114,324,900
  5. Step 5: Solve for x
    x = 10,114,324,900/46,721
  6. Step 6: Final answer
    x = 216,483.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.