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Finding the Third Proportional to 117,704 and 151,128

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Solution

The third proportional to 117,704 and 151,128 is: 194,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,704 : 151,128 = 151,128 : x
  2. Step 2: Convert to fraction form
    117,704/151,128 = 151,128/x
  3. Step 3: Cross multiply
    117,704x = 151,128 × 151,128
  4. Step 4: Simplify right side
    117,704x = 22,839,672,384
  5. Step 5: Solve for x
    x = 22,839,672,384/117,704
  6. Step 6: Final answer
    x = 194,043.30

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.