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Finding the Third Proportional to 95,099 and 147,172.50

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Solution

The third proportional to 95,099 and 147,172.50 is: 227,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,099 : 147,172.50 = 147,172.50 : x
  2. Step 2: Convert to fraction form
    95,099/147,172.50 = 147,172.50/x
  3. Step 3: Cross multiply
    95,099x = 147,172.50 × 147,172.50
  4. Step 4: Simplify right side
    95,099x = 21,659,744,756.25
  5. Step 5: Solve for x
    x = 21,659,744,756.25/95,099
  6. Step 6: Final answer
    x = 227,759.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.