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Finding the Third Proportional to 83,058.75 and 132,043.50

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Solution

The third proportional to 83,058.75 and 132,043.50 is: 209,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.75 : 132,043.50 = 132,043.50 : x
  2. Step 2: Convert to fraction form
    83,058.75/132,043.50 = 132,043.50/x
  3. Step 3: Cross multiply
    83,058.75x = 132,043.50 × 132,043.50
  4. Step 4: Simplify right side
    83,058.75x = 17,435,485,892.25
  5. Step 5: Solve for x
    x = 17,435,485,892.25/83,058.75
  6. Step 6: Final answer
    x = 209,917.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.