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Finding the Third Proportional to 83,059.75 and 124,563.25

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Solution

The third proportional to 83,059.75 and 124,563.25 is: 186,805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059.75 : 124,563.25 = 124,563.25 : x
  2. Step 2: Convert to fraction form
    83,059.75/124,563.25 = 124,563.25/x
  3. Step 3: Cross multiply
    83,059.75x = 124,563.25 × 124,563.25
  4. Step 4: Simplify right side
    83,059.75x = 15,516,003,250.56
  5. Step 5: Solve for x
    x = 15,516,003,250.56/83,059.75
  6. Step 6: Final answer
    x = 186,805.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.