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Finding the Third Proportional to 117,796 and 175,094

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Solution

The third proportional to 117,796 and 175,094 is: 260,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,796 : 175,094 = 175,094 : x
  2. Step 2: Convert to fraction form
    117,796/175,094 = 175,094/x
  3. Step 3: Cross multiply
    117,796x = 175,094 × 175,094
  4. Step 4: Simplify right side
    117,796x = 30,657,908,836
  5. Step 5: Solve for x
    x = 30,657,908,836/117,796
  6. Step 6: Final answer
    x = 260,262.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.