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Finding the Third Proportional to 110,784 and 176,112

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Solution

The third proportional to 110,784 and 176,112 is: 279,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,784 : 176,112 = 176,112 : x
  2. Step 2: Convert to fraction form
    110,784/176,112 = 176,112/x
  3. Step 3: Cross multiply
    110,784x = 176,112 × 176,112
  4. Step 4: Simplify right side
    110,784x = 31,015,436,544
  5. Step 5: Solve for x
    x = 31,015,436,544/110,784
  6. Step 6: Final answer
    x = 279,963.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.