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Finding the Third Proportional to 43,023 and 94,533

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Solution

The third proportional to 43,023 and 94,533 is: 207,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,023 : 94,533 = 94,533 : x
  2. Step 2: Convert to fraction form
    43,023/94,533 = 94,533/x
  3. Step 3: Cross multiply
    43,023x = 94,533 × 94,533
  4. Step 4: Simplify right side
    43,023x = 8,936,488,089
  5. Step 5: Solve for x
    x = 8,936,488,089/43,023
  6. Step 6: Final answer
    x = 207,714.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.