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Finding the Third Proportional to 73,932 and 113,640

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Solution

The third proportional to 73,932 and 113,640 is: 174,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932 : 113,640 = 113,640 : x
  2. Step 2: Convert to fraction form
    73,932/113,640 = 113,640/x
  3. Step 3: Cross multiply
    73,932x = 113,640 × 113,640
  4. Step 4: Simplify right side
    73,932x = 12,914,049,600
  5. Step 5: Solve for x
    x = 12,914,049,600/73,932
  6. Step 6: Final answer
    x = 174,674.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.