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Finding the Third Proportional to 76,306 and 116,727

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Solution

The third proportional to 76,306 and 116,727 is: 178,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,306 : 116,727 = 116,727 : x
  2. Step 2: Convert to fraction form
    76,306/116,727 = 116,727/x
  3. Step 3: Cross multiply
    76,306x = 116,727 × 116,727
  4. Step 4: Simplify right side
    76,306x = 13,625,192,529
  5. Step 5: Solve for x
    x = 13,625,192,529/76,306
  6. Step 6: Final answer
    x = 178,559.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.