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Finding the Third Proportional to 53,227 and 74,007.50

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Solution

The third proportional to 53,227 and 74,007.50 is: 102,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,227 : 74,007.50 = 74,007.50 : x
  2. Step 2: Convert to fraction form
    53,227/74,007.50 = 74,007.50/x
  3. Step 3: Cross multiply
    53,227x = 74,007.50 × 74,007.50
  4. Step 4: Simplify right side
    53,227x = 5,477,110,056.25
  5. Step 5: Solve for x
    x = 5,477,110,056.25/53,227
  6. Step 6: Final answer
    x = 102,900.97

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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.