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Finding the Third Proportional to 57,331.13 and 134,896.50

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Solution

The third proportional to 57,331.13 and 134,896.50 is: 317,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,331.13 : 134,896.50 = 134,896.50 : x
  2. Step 2: Convert to fraction form
    57,331.13/134,896.50 = 134,896.50/x
  3. Step 3: Cross multiply
    57,331.13x = 134,896.50 × 134,896.50
  4. Step 4: Simplify right side
    57,331.13x = 18,197,065,712.25
  5. Step 5: Solve for x
    x = 18,197,065,712.25/57,331.13
  6. Step 6: Final answer
    x = 317,402.91

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.