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Finding the Third Proportional to 86,093.90 and 129,227.35

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Solution

The third proportional to 86,093.90 and 129,227.35 is: 193,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,093.90 : 129,227.35 = 129,227.35 : x
  2. Step 2: Convert to fraction form
    86,093.90/129,227.35 = 129,227.35/x
  3. Step 3: Cross multiply
    86,093.90x = 129,227.35 × 129,227.35
  4. Step 4: Simplify right side
    86,093.90x = 16,699,708,644.25
  5. Step 5: Solve for x
    x = 16,699,708,644.25/86,093.90
  6. Step 6: Final answer
    x = 193,970.86

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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.