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Finding the Third Proportional to 73,728 and 110,784

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Solution

The third proportional to 73,728 and 110,784 is: 166,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,728 : 110,784 = 110,784 : x
  2. Step 2: Convert to fraction form
    73,728/110,784 = 110,784/x
  3. Step 3: Cross multiply
    73,728x = 110,784 × 110,784
  4. Step 4: Simplify right side
    73,728x = 12,273,094,656
  5. Step 5: Solve for x
    x = 12,273,094,656/73,728
  6. Step 6: Final answer
    x = 166,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.