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Finding the Third Proportional to 73,948 and 120,148

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Solution

The third proportional to 73,948 and 120,148 is: 195,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,948 : 120,148 = 120,148 : x
  2. Step 2: Convert to fraction form
    73,948/120,148 = 120,148/x
  3. Step 3: Cross multiply
    73,948x = 120,148 × 120,148
  4. Step 4: Simplify right side
    73,948x = 14,435,541,904
  5. Step 5: Solve for x
    x = 14,435,541,904/73,948
  6. Step 6: Final answer
    x = 195,212.07

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.