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Finding the Third Proportional to 57,434.38 and 85,805.58

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Solution

The third proportional to 57,434.38 and 85,805.58 is: 128,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,434.38 : 85,805.58 = 85,805.58 : x
  2. Step 2: Convert to fraction form
    57,434.38/85,805.58 = 85,805.58/x
  3. Step 3: Cross multiply
    57,434.38x = 85,805.58 × 85,805.58
  4. Step 4: Simplify right side
    57,434.38x = 7,362,597,237.37
  5. Step 5: Solve for x
    x = 7,362,597,237.37/57,434.38
  6. Step 6: Final answer
    x = 128,191.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.