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Finding the Third Proportional to 47,343 and 103,595

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Solution

The third proportional to 47,343 and 103,595 is: 226,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343 : 103,595 = 103,595 : x
  2. Step 2: Convert to fraction form
    47,343/103,595 = 103,595/x
  3. Step 3: Cross multiply
    47,343x = 103,595 × 103,595
  4. Step 4: Simplify right side
    47,343x = 10,731,924,025
  5. Step 5: Solve for x
    x = 10,731,924,025/47,343
  6. Step 6: Final answer
    x = 226,684.49

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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.