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Finding the Third Proportional to 36,145 and 76,664

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Solution

The third proportional to 36,145 and 76,664 is: 162,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145 : 76,664 = 76,664 : x
  2. Step 2: Convert to fraction form
    36,145/76,664 = 76,664/x
  3. Step 3: Cross multiply
    36,145x = 76,664 × 76,664
  4. Step 4: Simplify right side
    36,145x = 5,877,368,896
  5. Step 5: Solve for x
    x = 5,877,368,896/36,145
  6. Step 6: Final answer
    x = 162,605.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.