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Finding the Third Proportional to 93,975 and 145,678

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Solution

The third proportional to 93,975 and 145,678 is: 225,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,975 : 145,678 = 145,678 : x
  2. Step 2: Convert to fraction form
    93,975/145,678 = 145,678/x
  3. Step 3: Cross multiply
    93,975x = 145,678 × 145,678
  4. Step 4: Simplify right side
    93,975x = 21,222,079,684
  5. Step 5: Solve for x
    x = 21,222,079,684/93,975
  6. Step 6: Final answer
    x = 225,826.87

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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.