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Finding the Third Proportional to 47,343 and 102,030

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Solution

The third proportional to 47,343 and 102,030 is: 219,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343 : 102,030 = 102,030 : x
  2. Step 2: Convert to fraction form
    47,343/102,030 = 102,030/x
  3. Step 3: Cross multiply
    47,343x = 102,030 × 102,030
  4. Step 4: Simplify right side
    47,343x = 10,410,120,900
  5. Step 5: Solve for x
    x = 10,410,120,900/47,343
  6. Step 6: Final answer
    x = 219,887.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.