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Finding the Third Proportional to 86,960 and 130,632

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Solution

The third proportional to 86,960 and 130,632 is: 196,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,960 : 130,632 = 130,632 : x
  2. Step 2: Convert to fraction form
    86,960/130,632 = 130,632/x
  3. Step 3: Cross multiply
    86,960x = 130,632 × 130,632
  4. Step 4: Simplify right side
    86,960x = 17,064,719,424
  5. Step 5: Solve for x
    x = 17,064,719,424/86,960
  6. Step 6: Final answer
    x = 196,236.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.