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Finding the Third Proportional to 74,880 and 162,881.25

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Solution

The third proportional to 74,880 and 162,881.25 is: 354,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,880 : 162,881.25 = 162,881.25 : x
  2. Step 2: Convert to fraction form
    74,880/162,881.25 = 162,881.25/x
  3. Step 3: Cross multiply
    74,880x = 162,881.25 × 162,881.25
  4. Step 4: Simplify right side
    74,880x = 26,530,301,601.56
  5. Step 5: Solve for x
    x = 26,530,301,601.56/74,880
  6. Step 6: Final answer
    x = 354,304.24

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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.