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Finding the Third Proportional to 86,548.50 and 129,822.75

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Solution

The third proportional to 86,548.50 and 129,822.75 is: 194,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,548.50 : 129,822.75 = 129,822.75 : x
  2. Step 2: Convert to fraction form
    86,548.50/129,822.75 = 129,822.75/x
  3. Step 3: Cross multiply
    86,548.50x = 129,822.75 × 129,822.75
  4. Step 4: Simplify right side
    86,548.50x = 16,853,946,417.56
  5. Step 5: Solve for x
    x = 16,853,946,417.56/86,548.50
  6. Step 6: Final answer
    x = 194,734.13

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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.