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Finding the Third Proportional to 79,304 and 116,762

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Solution

The third proportional to 79,304 and 116,762 is: 171,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,304 : 116,762 = 116,762 : x
  2. Step 2: Convert to fraction form
    79,304/116,762 = 116,762/x
  3. Step 3: Cross multiply
    79,304x = 116,762 × 116,762
  4. Step 4: Simplify right side
    79,304x = 13,633,364,644
  5. Step 5: Solve for x
    x = 13,633,364,644/79,304
  6. Step 6: Final answer
    x = 171,912.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.