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Finding the Third Proportional to 103,634 and 141,296

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Solution

The third proportional to 103,634 and 141,296 is: 192,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 141,296 = 141,296 : x
  2. Step 2: Convert to fraction form
    103,634/141,296 = 141,296/x
  3. Step 3: Cross multiply
    103,634x = 141,296 × 141,296
  4. Step 4: Simplify right side
    103,634x = 19,964,559,616
  5. Step 5: Solve for x
    x = 19,964,559,616/103,634
  6. Step 6: Final answer
    x = 192,644.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.