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Finding the Third Proportional to 79,297 and 115,967

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Solution

The third proportional to 79,297 and 115,967 is: 169,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,297 : 115,967 = 115,967 : x
  2. Step 2: Convert to fraction form
    79,297/115,967 = 115,967/x
  3. Step 3: Cross multiply
    79,297x = 115,967 × 115,967
  4. Step 4: Simplify right side
    79,297x = 13,448,345,089
  5. Step 5: Solve for x
    x = 13,448,345,089/79,297
  6. Step 6: Final answer
    x = 169,594.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.