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Finding the Third Proportional to 40,500 and 85,095

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Solution

The third proportional to 40,500 and 85,095 is: 178,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,500 : 85,095 = 85,095 : x
  2. Step 2: Convert to fraction form
    40,500/85,095 = 85,095/x
  3. Step 3: Cross multiply
    40,500x = 85,095 × 85,095
  4. Step 4: Simplify right side
    40,500x = 7,241,159,025
  5. Step 5: Solve for x
    x = 7,241,159,025/40,500
  6. Step 6: Final answer
    x = 178,794.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.