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Finding the Third Proportional to 95,880 and 150,097.50

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Solution

The third proportional to 95,880 and 150,097.50 is: 234,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,880 : 150,097.50 = 150,097.50 : x
  2. Step 2: Convert to fraction form
    95,880/150,097.50 = 150,097.50/x
  3. Step 3: Cross multiply
    95,880x = 150,097.50 × 150,097.50
  4. Step 4: Simplify right side
    95,880x = 22,529,259,506.25
  5. Step 5: Solve for x
    x = 22,529,259,506.25/95,880
  6. Step 6: Final answer
    x = 234,973.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.