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Finding the Third Proportional to 70,049.25 and 108,765

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Solution

The third proportional to 70,049.25 and 108,765 is: 168,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,049.25 : 108,765 = 108,765 : x
  2. Step 2: Convert to fraction form
    70,049.25/108,765 = 108,765/x
  3. Step 3: Cross multiply
    70,049.25x = 108,765 × 108,765
  4. Step 4: Simplify right side
    70,049.25x = 11,829,825,225
  5. Step 5: Solve for x
    x = 11,829,825,225/70,049.25
  6. Step 6: Final answer
    x = 168,878.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.