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Finding the Third Proportional to 86,313.50 and 131,271.75

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Solution

The third proportional to 86,313.50 and 131,271.75 is: 199,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,313.50 : 131,271.75 = 131,271.75 : x
  2. Step 2: Convert to fraction form
    86,313.50/131,271.75 = 131,271.75/x
  3. Step 3: Cross multiply
    86,313.50x = 131,271.75 × 131,271.75
  4. Step 4: Simplify right side
    86,313.50x = 17,232,272,348.06
  5. Step 5: Solve for x
    x = 17,232,272,348.06/86,313.50
  6. Step 6: Final answer
    x = 199,647.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.