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Finding the Third Proportional to 70,059 and 107,685

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Solution

The third proportional to 70,059 and 107,685 is: 165,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,059 : 107,685 = 107,685 : x
  2. Step 2: Convert to fraction form
    70,059/107,685 = 107,685/x
  3. Step 3: Cross multiply
    70,059x = 107,685 × 107,685
  4. Step 4: Simplify right side
    70,059x = 11,596,059,225
  5. Step 5: Solve for x
    x = 11,596,059,225/70,059
  6. Step 6: Final answer
    x = 165,518.48

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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.