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Finding the Third Proportional to 117,052.69 and 175,258.31

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Solution

The third proportional to 117,052.69 and 175,258.31 is: 262,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,052.69 : 175,258.31 = 175,258.31 : x
  2. Step 2: Convert to fraction form
    117,052.69/175,258.31 = 175,258.31/x
  3. Step 3: Cross multiply
    117,052.69x = 175,258.31 × 175,258.31
  4. Step 4: Simplify right side
    117,052.69x = 30,715,476,100.35
  5. Step 5: Solve for x
    x = 30,715,476,100.35/117,052.69
  6. Step 6: Final answer
    x = 262,407.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.