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Finding the Third Proportional to 47,306 and 103,540

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Solution

The third proportional to 47,306 and 103,540 is: 226,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,306 : 103,540 = 103,540 : x
  2. Step 2: Convert to fraction form
    47,306/103,540 = 103,540/x
  3. Step 3: Cross multiply
    47,306x = 103,540 × 103,540
  4. Step 4: Simplify right side
    47,306x = 10,720,531,600
  5. Step 5: Solve for x
    x = 10,720,531,600/47,306
  6. Step 6: Final answer
    x = 226,620.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.