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Finding the Third Proportional to 85,150.50 and 128,905

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Solution

The third proportional to 85,150.50 and 128,905 is: 195,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,150.50 : 128,905 = 128,905 : x
  2. Step 2: Convert to fraction form
    85,150.50/128,905 = 128,905/x
  3. Step 3: Cross multiply
    85,150.50x = 128,905 × 128,905
  4. Step 4: Simplify right side
    85,150.50x = 16,616,499,025
  5. Step 5: Solve for x
    x = 16,616,499,025/85,150.50
  6. Step 6: Final answer
    x = 195,142.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.