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Finding the Third Proportional to 93 and 144.50

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Solution

The third proportional to 93 and 144.50 is: 224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93 : 144.50 = 144.50 : x
  2. Step 2: Convert to fraction form
    93/144.50 = 144.50/x
  3. Step 3: Cross multiply
    93x = 144.50 × 144.50
  4. Step 4: Simplify right side
    93x = 20,880.25
  5. Step 5: Solve for x
    x = 20,880.25/93
  6. Step 6: Final answer
    x = 224.52

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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.