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Finding the Third Proportional to 53,217 and 73,993.50

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Solution

The third proportional to 53,217 and 73,993.50 is: 102,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,217 : 73,993.50 = 73,993.50 : x
  2. Step 2: Convert to fraction form
    53,217/73,993.50 = 73,993.50/x
  3. Step 3: Cross multiply
    53,217x = 73,993.50 × 73,993.50
  4. Step 4: Simplify right side
    53,217x = 5,475,038,042.25
  5. Step 5: Solve for x
    x = 5,475,038,042.25/53,217
  6. Step 6: Final answer
    x = 102,881.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.