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Finding the Third Proportional to 117,705 and 151,128.75

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Solution

The third proportional to 117,705 and 151,128.75 is: 194,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,705 : 151,128.75 = 151,128.75 : x
  2. Step 2: Convert to fraction form
    117,705/151,128.75 = 151,128.75/x
  3. Step 3: Cross multiply
    117,705x = 151,128.75 × 151,128.75
  4. Step 4: Simplify right side
    117,705x = 22,839,899,076.56
  5. Step 5: Solve for x
    x = 22,839,899,076.56/117,705
  6. Step 6: Final answer
    x = 194,043.58

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