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Finding the Third Proportional to 86,339.25 and 185,064.75

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Solution

The third proportional to 86,339.25 and 185,064.75 is: 396,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,339.25 : 185,064.75 = 185,064.75 : x
  2. Step 2: Convert to fraction form
    86,339.25/185,064.75 = 185,064.75/x
  3. Step 3: Cross multiply
    86,339.25x = 185,064.75 × 185,064.75
  4. Step 4: Simplify right side
    86,339.25x = 34,248,961,692.56
  5. Step 5: Solve for x
    x = 34,248,961,692.56/86,339.25
  6. Step 6: Final answer
    x = 396,678.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.