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Finding the Third Proportional to 86,460.75 and 129,692.25

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Solution

The third proportional to 86,460.75 and 129,692.25 is: 194,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,460.75 : 129,692.25 = 129,692.25 : x
  2. Step 2: Convert to fraction form
    86,460.75/129,692.25 = 129,692.25/x
  3. Step 3: Cross multiply
    86,460.75x = 129,692.25 × 129,692.25
  4. Step 4: Simplify right side
    86,460.75x = 16,820,079,710.06
  5. Step 5: Solve for x
    x = 16,820,079,710.06/86,460.75
  6. Step 6: Final answer
    x = 194,540.06

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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.