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Finding the Third Proportional to 110,151.50 and 175,069

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Solution

The third proportional to 110,151.50 and 175,069 is: 278,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,151.50 : 175,069 = 175,069 : x
  2. Step 2: Convert to fraction form
    110,151.50/175,069 = 175,069/x
  3. Step 3: Cross multiply
    110,151.50x = 175,069 × 175,069
  4. Step 4: Simplify right side
    110,151.50x = 30,649,154,761
  5. Step 5: Solve for x
    x = 30,649,154,761/110,151.50
  6. Step 6: Final answer
    x = 278,245.46

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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.