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Finding the Third Proportional to 57,035.25 and 132,178.50

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Solution

The third proportional to 57,035.25 and 132,178.50 is: 306,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,035.25 : 132,178.50 = 132,178.50 : x
  2. Step 2: Convert to fraction form
    57,035.25/132,178.50 = 132,178.50/x
  3. Step 3: Cross multiply
    57,035.25x = 132,178.50 × 132,178.50
  4. Step 4: Simplify right side
    57,035.25x = 17,471,155,862.25
  5. Step 5: Solve for x
    x = 17,471,155,862.25/57,035.25
  6. Step 6: Final answer
    x = 306,322.07

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.