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Finding the Third Proportional to 53,573 and 102,286

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Solution

The third proportional to 53,573 and 102,286 is: 195,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,573 : 102,286 = 102,286 : x
  2. Step 2: Convert to fraction form
    53,573/102,286 = 102,286/x
  3. Step 3: Cross multiply
    53,573x = 102,286 × 102,286
  4. Step 4: Simplify right side
    53,573x = 10,462,425,796
  5. Step 5: Solve for x
    x = 10,462,425,796/53,573
  6. Step 6: Final answer
    x = 195,292.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.