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Finding the Third Proportional to 57,327.50 and 82,572.50

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Solution

The third proportional to 57,327.50 and 82,572.50 is: 118,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,327.50 : 82,572.50 = 82,572.50 : x
  2. Step 2: Convert to fraction form
    57,327.50/82,572.50 = 82,572.50/x
  3. Step 3: Cross multiply
    57,327.50x = 82,572.50 × 82,572.50
  4. Step 4: Simplify right side
    57,327.50x = 6,818,217,756.25
  5. Step 5: Solve for x
    x = 6,818,217,756.25/57,327.50
  6. Step 6: Final answer
    x = 118,934.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.