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Finding the Third Proportional to 50,212 and 71,384.25

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Solution

The third proportional to 50,212 and 71,384.25 is: 101,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,212 : 71,384.25 = 71,384.25 : x
  2. Step 2: Convert to fraction form
    50,212/71,384.25 = 71,384.25/x
  3. Step 3: Cross multiply
    50,212x = 71,384.25 × 71,384.25
  4. Step 4: Simplify right side
    50,212x = 5,095,711,148.06
  5. Step 5: Solve for x
    x = 5,095,711,148.06/50,212
  6. Step 6: Final answer
    x = 101,483.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.