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Finding the Third Proportional to 62,920 and 138,273.50

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Solution

The third proportional to 62,920 and 138,273.50 is: 303,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,920 : 138,273.50 = 138,273.50 : x
  2. Step 2: Convert to fraction form
    62,920/138,273.50 = 138,273.50/x
  3. Step 3: Cross multiply
    62,920x = 138,273.50 × 138,273.50
  4. Step 4: Simplify right side
    62,920x = 19,119,560,802.25
  5. Step 5: Solve for x
    x = 19,119,560,802.25/62,920
  6. Step 6: Final answer
    x = 303,870.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.