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Finding the Third Proportional to 50,148 and 108,133

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Solution

The third proportional to 50,148 and 108,133 is: 233,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148 : 108,133 = 108,133 : x
  2. Step 2: Convert to fraction form
    50,148/108,133 = 108,133/x
  3. Step 3: Cross multiply
    50,148x = 108,133 × 108,133
  4. Step 4: Simplify right side
    50,148x = 11,692,745,689
  5. Step 5: Solve for x
    x = 11,692,745,689/50,148
  6. Step 6: Final answer
    x = 233,164.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.