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Finding the Third Proportional to 86,896 and 129,960

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Solution

The third proportional to 86,896 and 129,960 is: 194,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896 : 129,960 = 129,960 : x
  2. Step 2: Convert to fraction form
    86,896/129,960 = 129,960/x
  3. Step 3: Cross multiply
    86,896x = 129,960 × 129,960
  4. Step 4: Simplify right side
    86,896x = 16,889,601,600
  5. Step 5: Solve for x
    x = 16,889,601,600/86,896
  6. Step 6: Final answer
    x = 194,365.70

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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.