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Finding the Third Proportional to 95,500.50 and 129,237.75

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Solution

The third proportional to 95,500.50 and 129,237.75 is: 174,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,500.50 : 129,237.75 = 129,237.75 : x
  2. Step 2: Convert to fraction form
    95,500.50/129,237.75 = 129,237.75/x
  3. Step 3: Cross multiply
    95,500.50x = 129,237.75 × 129,237.75
  4. Step 4: Simplify right side
    95,500.50x = 16,702,396,025.06
  5. Step 5: Solve for x
    x = 16,702,396,025.06/95,500.50
  6. Step 6: Final answer
    x = 174,893.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.