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Finding the Third Proportional to 95,096.25 and 147,168

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Solution

The third proportional to 95,096.25 and 147,168 is: 227,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,096.25 : 147,168 = 147,168 : x
  2. Step 2: Convert to fraction form
    95,096.25/147,168 = 147,168/x
  3. Step 3: Cross multiply
    95,096.25x = 147,168 × 147,168
  4. Step 4: Simplify right side
    95,096.25x = 21,658,420,224
  5. Step 5: Solve for x
    x = 21,658,420,224/95,096.25
  6. Step 6: Final answer
    x = 227,752.62

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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.