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Finding the Third Proportional to 114,970 and 167,991

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Solution

The third proportional to 114,970 and 167,991 is: 245,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,970 : 167,991 = 167,991 : x
  2. Step 2: Convert to fraction form
    114,970/167,991 = 167,991/x
  3. Step 3: Cross multiply
    114,970x = 167,991 × 167,991
  4. Step 4: Simplify right side
    114,970x = 28,220,976,081
  5. Step 5: Solve for x
    x = 28,220,976,081/114,970
  6. Step 6: Final answer
    x = 245,463.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.