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Finding the Third Proportional to 70,960 and 109,103

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Solution

The third proportional to 70,960 and 109,103 is: 167,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,960 : 109,103 = 109,103 : x
  2. Step 2: Convert to fraction form
    70,960/109,103 = 109,103/x
  3. Step 3: Cross multiply
    70,960x = 109,103 × 109,103
  4. Step 4: Simplify right side
    70,960x = 11,903,464,609
  5. Step 5: Solve for x
    x = 11,903,464,609/70,960
  6. Step 6: Final answer
    x = 167,748.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.