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Finding the Third Proportional to 86,122 and 127,951

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Solution

The third proportional to 86,122 and 127,951 is: 190,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122 : 127,951 = 127,951 : x
  2. Step 2: Convert to fraction form
    86,122/127,951 = 127,951/x
  3. Step 3: Cross multiply
    86,122x = 127,951 × 127,951
  4. Step 4: Simplify right side
    86,122x = 16,371,458,401
  5. Step 5: Solve for x
    x = 16,371,458,401/86,122
  6. Step 6: Final answer
    x = 190,096.12

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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.