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Finding the Third Proportional to 86,172 and 128,740

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Solution

The third proportional to 86,172 and 128,740 is: 192,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,172 : 128,740 = 128,740 : x
  2. Step 2: Convert to fraction form
    86,172/128,740 = 128,740/x
  3. Step 3: Cross multiply
    86,172x = 128,740 × 128,740
  4. Step 4: Simplify right side
    86,172x = 16,573,987,600
  5. Step 5: Solve for x
    x = 16,573,987,600/86,172
  6. Step 6: Final answer
    x = 192,336.11

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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.