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Finding the Third Proportional to 74,052 and 160,409.25

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Solution

The third proportional to 74,052 and 160,409.25 is: 347,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 160,409.25 = 160,409.25 : x
  2. Step 2: Convert to fraction form
    74,052/160,409.25 = 160,409.25/x
  3. Step 3: Cross multiply
    74,052x = 160,409.25 × 160,409.25
  4. Step 4: Simplify right side
    74,052x = 25,731,127,485.56
  5. Step 5: Solve for x
    x = 25,731,127,485.56/74,052
  6. Step 6: Final answer
    x = 347,473.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.