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Finding the Third Proportional to 40,130 and 86,956

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Solution

The third proportional to 40,130 and 86,956 is: 188,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,130 : 86,956 = 86,956 : x
  2. Step 2: Convert to fraction form
    40,130/86,956 = 86,956/x
  3. Step 3: Cross multiply
    40,130x = 86,956 × 86,956
  4. Step 4: Simplify right side
    40,130x = 7,561,345,936
  5. Step 5: Solve for x
    x = 7,561,345,936/40,130
  6. Step 6: Final answer
    x = 188,421.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.