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Finding the Third Proportional to 82,928.50 and 124,809

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Solution

The third proportional to 82,928.50 and 124,809 is: 187,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,928.50 : 124,809 = 124,809 : x
  2. Step 2: Convert to fraction form
    82,928.50/124,809 = 124,809/x
  3. Step 3: Cross multiply
    82,928.50x = 124,809 × 124,809
  4. Step 4: Simplify right side
    82,928.50x = 15,577,286,481
  5. Step 5: Solve for x
    x = 15,577,286,481/82,928.50
  6. Step 6: Final answer
    x = 187,839.96

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Why These Related Problems?

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