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Finding the Third Proportional to 70,540 and 109,170

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Solution

The third proportional to 70,540 and 109,170 is: 168,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540 : 109,170 = 109,170 : x
  2. Step 2: Convert to fraction form
    70,540/109,170 = 109,170/x
  3. Step 3: Cross multiply
    70,540x = 109,170 × 109,170
  4. Step 4: Simplify right side
    70,540x = 11,918,088,900
  5. Step 5: Solve for x
    x = 11,918,088,900/70,540
  6. Step 6: Final answer
    x = 168,955.05

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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.