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Finding the Third Proportional to 70,610 and 108,170

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Solution

The third proportional to 70,610 and 108,170 is: 165,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,610 : 108,170 = 108,170 : x
  2. Step 2: Convert to fraction form
    70,610/108,170 = 108,170/x
  3. Step 3: Cross multiply
    70,610x = 108,170 × 108,170
  4. Step 4: Simplify right side
    70,610x = 11,700,748,900
  5. Step 5: Solve for x
    x = 11,700,748,900/70,610
  6. Step 6: Final answer
    x = 165,709.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.