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Finding the Third Proportional to 57,242 and 87,571.50

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Solution

The third proportional to 57,242 and 87,571.50 is: 133,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242 : 87,571.50 = 87,571.50 : x
  2. Step 2: Convert to fraction form
    57,242/87,571.50 = 87,571.50/x
  3. Step 3: Cross multiply
    57,242x = 87,571.50 × 87,571.50
  4. Step 4: Simplify right side
    57,242x = 7,668,767,612.25
  5. Step 5: Solve for x
    x = 7,668,767,612.25/57,242
  6. Step 6: Final answer
    x = 133,970.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.