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Finding the Third Proportional to 86,863.50 and 130,504

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Solution

The third proportional to 86,863.50 and 130,504 is: 196,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,863.50 : 130,504 = 130,504 : x
  2. Step 2: Convert to fraction form
    86,863.50/130,504 = 130,504/x
  3. Step 3: Cross multiply
    86,863.50x = 130,504 × 130,504
  4. Step 4: Simplify right side
    86,863.50x = 17,031,294,016
  5. Step 5: Solve for x
    x = 17,031,294,016/86,863.50
  6. Step 6: Final answer
    x = 196,069.63

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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.