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Finding the Third Proportional to 80,618 and 127,110

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Solution

The third proportional to 80,618 and 127,110 is: 200,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,618 : 127,110 = 127,110 : x
  2. Step 2: Convert to fraction form
    80,618/127,110 = 127,110/x
  3. Step 3: Cross multiply
    80,618x = 127,110 × 127,110
  4. Step 4: Simplify right side
    80,618x = 16,156,952,100
  5. Step 5: Solve for x
    x = 16,156,952,100/80,618
  6. Step 6: Final answer
    x = 200,413.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.