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Finding the Third Proportional to 74,471.63 and 159,603.75

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Solution

The third proportional to 74,471.63 and 159,603.75 is: 342,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.63 : 159,603.75 = 159,603.75 : x
  2. Step 2: Convert to fraction form
    74,471.63/159,603.75 = 159,603.75/x
  3. Step 3: Cross multiply
    74,471.63x = 159,603.75 × 159,603.75
  4. Step 4: Simplify right side
    74,471.63x = 25,473,357,014.06
  5. Step 5: Solve for x
    x = 25,473,357,014.06/74,471.63
  6. Step 6: Final answer
    x = 342,054.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.