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Finding the Third Proportional to 131,994 and 175,026

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Solution

The third proportional to 131,994 and 175,026 is: 232,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,994 : 175,026 = 175,026 : x
  2. Step 2: Convert to fraction form
    131,994/175,026 = 175,026/x
  3. Step 3: Cross multiply
    131,994x = 175,026 × 175,026
  4. Step 4: Simplify right side
    131,994x = 30,634,100,676
  5. Step 5: Solve for x
    x = 30,634,100,676/131,994
  6. Step 6: Final answer
    x = 232,087.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.