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Finding the Third Proportional to 47,529 and 75,253.50

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Solution

The third proportional to 47,529 and 75,253.50 is: 119,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,529 : 75,253.50 = 75,253.50 : x
  2. Step 2: Convert to fraction form
    47,529/75,253.50 = 75,253.50/x
  3. Step 3: Cross multiply
    47,529x = 75,253.50 × 75,253.50
  4. Step 4: Simplify right side
    47,529x = 5,663,089,262.25
  5. Step 5: Solve for x
    x = 5,663,089,262.25/47,529
  6. Step 6: Final answer
    x = 119,150.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.