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Finding the Third Proportional to 79,618 and 113,190

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Solution

The third proportional to 79,618 and 113,190 is: 160,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,618 : 113,190 = 113,190 : x
  2. Step 2: Convert to fraction form
    79,618/113,190 = 113,190/x
  3. Step 3: Cross multiply
    79,618x = 113,190 × 113,190
  4. Step 4: Simplify right side
    79,618x = 12,811,976,100
  5. Step 5: Solve for x
    x = 12,811,976,100/79,618
  6. Step 6: Final answer
    x = 160,918.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.