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Finding the Third Proportional to 50,326 and 70,538

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Solution

The third proportional to 50,326 and 70,538 is: 98,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,326 : 70,538 = 70,538 : x
  2. Step 2: Convert to fraction form
    50,326/70,538 = 70,538/x
  3. Step 3: Cross multiply
    50,326x = 70,538 × 70,538
  4. Step 4: Simplify right side
    50,326x = 4,975,609,444
  5. Step 5: Solve for x
    x = 4,975,609,444/50,326
  6. Step 6: Final answer
    x = 98,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.