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Finding the Third Proportional to 110,126 and 175,035

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Solution

The third proportional to 110,126 and 175,035 is: 278,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,126 : 175,035 = 175,035 : x
  2. Step 2: Convert to fraction form
    110,126/175,035 = 175,035/x
  3. Step 3: Cross multiply
    110,126x = 175,035 × 175,035
  4. Step 4: Simplify right side
    110,126x = 30,637,251,225
  5. Step 5: Solve for x
    x = 30,637,251,225/110,126
  6. Step 6: Final answer
    x = 278,201.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.