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Finding the Third Proportional to 86,170.50 and 128,736

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Solution

The third proportional to 86,170.50 and 128,736 is: 192,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,170.50 : 128,736 = 128,736 : x
  2. Step 2: Convert to fraction form
    86,170.50/128,736 = 128,736/x
  3. Step 3: Cross multiply
    86,170.50x = 128,736 × 128,736
  4. Step 4: Simplify right side
    86,170.50x = 16,572,957,696
  5. Step 5: Solve for x
    x = 16,572,957,696/86,170.50
  6. Step 6: Final answer
    x = 192,327.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.