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Finding the Third Proportional to 79,336 and 114,636

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Solution

The third proportional to 79,336 and 114,636 is: 165,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,336 : 114,636 = 114,636 : x
  2. Step 2: Convert to fraction form
    79,336/114,636 = 114,636/x
  3. Step 3: Cross multiply
    79,336x = 114,636 × 114,636
  4. Step 4: Simplify right side
    79,336x = 13,141,412,496
  5. Step 5: Solve for x
    x = 13,141,412,496/79,336
  6. Step 6: Final answer
    x = 165,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.