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Finding the Third Proportional to 82,104 and 123,750

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Solution

The third proportional to 82,104 and 123,750 is: 186,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104 : 123,750 = 123,750 : x
  2. Step 2: Convert to fraction form
    82,104/123,750 = 123,750/x
  3. Step 3: Cross multiply
    82,104x = 123,750 × 123,750
  4. Step 4: Simplify right side
    82,104x = 15,314,062,500
  5. Step 5: Solve for x
    x = 15,314,062,500/82,104
  6. Step 6: Final answer
    x = 186,520.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.