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Finding the Third Proportional to 73,596 and 116,728

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Solution

The third proportional to 73,596 and 116,728 is: 185,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,596 : 116,728 = 116,728 : x
  2. Step 2: Convert to fraction form
    73,596/116,728 = 116,728/x
  3. Step 3: Cross multiply
    73,596x = 116,728 × 116,728
  4. Step 4: Simplify right side
    73,596x = 13,625,425,984
  5. Step 5: Solve for x
    x = 13,625,425,984/73,596
  6. Step 6: Final answer
    x = 185,138.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.