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Finding the Third Proportional to 43,020 and 100,540

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Solution

The third proportional to 43,020 and 100,540 is: 234,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 100,540 = 100,540 : x
  2. Step 2: Convert to fraction form
    43,020/100,540 = 100,540/x
  3. Step 3: Cross multiply
    43,020x = 100,540 × 100,540
  4. Step 4: Simplify right side
    43,020x = 10,108,291,600
  5. Step 5: Solve for x
    x = 10,108,291,600/43,020
  6. Step 6: Final answer
    x = 234,967.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.