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Finding the Third Proportional to 46,046 and 100,420

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Solution

The third proportional to 46,046 and 100,420 is: 219,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046 : 100,420 = 100,420 : x
  2. Step 2: Convert to fraction form
    46,046/100,420 = 100,420/x
  3. Step 3: Cross multiply
    46,046x = 100,420 × 100,420
  4. Step 4: Simplify right side
    46,046x = 10,084,176,400
  5. Step 5: Solve for x
    x = 10,084,176,400/46,046
  6. Step 6: Final answer
    x = 219,002.22

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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.