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Finding the Third Proportional to 83,977.50 and 130,023.25

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Solution

The third proportional to 83,977.50 and 130,023.25 is: 201,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977.50 : 130,023.25 = 130,023.25 : x
  2. Step 2: Convert to fraction form
    83,977.50/130,023.25 = 130,023.25/x
  3. Step 3: Cross multiply
    83,977.50x = 130,023.25 × 130,023.25
  4. Step 4: Simplify right side
    83,977.50x = 16,906,045,540.56
  5. Step 5: Solve for x
    x = 16,906,045,540.56/83,977.50
  6. Step 6: Final answer
    x = 201,316.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.