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Finding the Third Proportional to 75,903.75 and 111,394.88

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Solution

The third proportional to 75,903.75 and 111,394.88 is: 163,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,903.75 : 111,394.88 = 111,394.88 : x
  2. Step 2: Convert to fraction form
    75,903.75/111,394.88 = 111,394.88/x
  3. Step 3: Cross multiply
    75,903.75x = 111,394.88 × 111,394.88
  4. Step 4: Simplify right side
    75,903.75x = 12,408,818,176.27
  5. Step 5: Solve for x
    x = 12,408,818,176.27/75,903.75
  6. Step 6: Final answer
    x = 163,480.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.