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Finding the Third Proportional to 110,106 and 153,205.50

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Solution

The third proportional to 110,106 and 153,205.50 is: 213,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,106 : 153,205.50 = 153,205.50 : x
  2. Step 2: Convert to fraction form
    110,106/153,205.50 = 153,205.50/x
  3. Step 3: Cross multiply
    110,106x = 153,205.50 × 153,205.50
  4. Step 4: Simplify right side
    110,106x = 23,471,925,230.25
  5. Step 5: Solve for x
    x = 23,471,925,230.25/110,106
  6. Step 6: Final answer
    x = 213,175.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.