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Finding the Third Proportional to 127,012 and 191,670

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Solution

The third proportional to 127,012 and 191,670 is: 289,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,012 : 191,670 = 191,670 : x
  2. Step 2: Convert to fraction form
    127,012/191,670 = 191,670/x
  3. Step 3: Cross multiply
    127,012x = 191,670 × 191,670
  4. Step 4: Simplify right side
    127,012x = 36,737,388,900
  5. Step 5: Solve for x
    x = 36,737,388,900/127,012
  6. Step 6: Final answer
    x = 289,243.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.