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Finding the Third Proportional to 112,106 and 166,562

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Solution

The third proportional to 112,106 and 166,562 is: 247,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,106 : 166,562 = 166,562 : x
  2. Step 2: Convert to fraction form
    112,106/166,562 = 166,562/x
  3. Step 3: Cross multiply
    112,106x = 166,562 × 166,562
  4. Step 4: Simplify right side
    112,106x = 27,742,899,844
  5. Step 5: Solve for x
    x = 27,742,899,844/112,106
  6. Step 6: Final answer
    x = 247,470.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.