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Finding the Third Proportional to 70,101 and 111,595.50

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Solution

The third proportional to 70,101 and 111,595.50 is: 177,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101 : 111,595.50 = 111,595.50 : x
  2. Step 2: Convert to fraction form
    70,101/111,595.50 = 111,595.50/x
  3. Step 3: Cross multiply
    70,101x = 111,595.50 × 111,595.50
  4. Step 4: Simplify right side
    70,101x = 12,453,555,620.25
  5. Step 5: Solve for x
    x = 12,453,555,620.25/70,101
  6. Step 6: Final answer
    x = 177,651.61

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