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Finding the Third Proportional to 86,256 and 121,752

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Solution

The third proportional to 86,256 and 121,752 is: 171,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,256 : 121,752 = 121,752 : x
  2. Step 2: Convert to fraction form
    86,256/121,752 = 121,752/x
  3. Step 3: Cross multiply
    86,256x = 121,752 × 121,752
  4. Step 4: Simplify right side
    86,256x = 14,823,549,504
  5. Step 5: Solve for x
    x = 14,823,549,504/86,256
  6. Step 6: Final answer
    x = 171,855.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.