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Finding the Third Proportional to 86,175 and 128,741

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Solution

The third proportional to 86,175 and 128,741 is: 192,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,175 : 128,741 = 128,741 : x
  2. Step 2: Convert to fraction form
    86,175/128,741 = 128,741/x
  3. Step 3: Cross multiply
    86,175x = 128,741 × 128,741
  4. Step 4: Simplify right side
    86,175x = 16,574,245,081
  5. Step 5: Solve for x
    x = 16,574,245,081/86,175
  6. Step 6: Final answer
    x = 192,332.41

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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.