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Finding the Third Proportional to 54,160 and 72,450

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Solution

The third proportional to 54,160 and 72,450 is: 96,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,160 : 72,450 = 72,450 : x
  2. Step 2: Convert to fraction form
    54,160/72,450 = 72,450/x
  3. Step 3: Cross multiply
    54,160x = 72,450 × 72,450
  4. Step 4: Simplify right side
    54,160x = 5,249,002,500
  5. Step 5: Solve for x
    x = 5,249,002,500/54,160
  6. Step 6: Final answer
    x = 96,916.59

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.