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Finding the Third Proportional to 83,161.50 and 130,305.75

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Solution

The third proportional to 83,161.50 and 130,305.75 is: 204,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.50 : 130,305.75 = 130,305.75 : x
  2. Step 2: Convert to fraction form
    83,161.50/130,305.75 = 130,305.75/x
  3. Step 3: Cross multiply
    83,161.50x = 130,305.75 × 130,305.75
  4. Step 4: Simplify right side
    83,161.50x = 16,979,588,483.06
  5. Step 5: Solve for x
    x = 16,979,588,483.06/83,161.50
  6. Step 6: Final answer
    x = 204,176.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.