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Finding the Third Proportional to 74,471.25 and 162,045.75

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Solution

The third proportional to 74,471.25 and 162,045.75 is: 352,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.25 : 162,045.75 = 162,045.75 : x
  2. Step 2: Convert to fraction form
    74,471.25/162,045.75 = 162,045.75/x
  3. Step 3: Cross multiply
    74,471.25x = 162,045.75 × 162,045.75
  4. Step 4: Simplify right side
    74,471.25x = 26,258,825,093.06
  5. Step 5: Solve for x
    x = 26,258,825,093.06/74,471.25
  6. Step 6: Final answer
    x = 352,603.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.