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Finding the Third Proportional to 47,133 and 102,573

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Solution

The third proportional to 47,133 and 102,573 is: 223,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,133 : 102,573 = 102,573 : x
  2. Step 2: Convert to fraction form
    47,133/102,573 = 102,573/x
  3. Step 3: Cross multiply
    47,133x = 102,573 × 102,573
  4. Step 4: Simplify right side
    47,133x = 10,521,220,329
  5. Step 5: Solve for x
    x = 10,521,220,329/47,133
  6. Step 6: Final answer
    x = 223,224.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.