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Finding the Third Proportional to 40,500 and 84,240

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Solution

The third proportional to 40,500 and 84,240 is: 175,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,500 : 84,240 = 84,240 : x
  2. Step 2: Convert to fraction form
    40,500/84,240 = 84,240/x
  3. Step 3: Cross multiply
    40,500x = 84,240 × 84,240
  4. Step 4: Simplify right side
    40,500x = 7,096,377,600
  5. Step 5: Solve for x
    x = 7,096,377,600/40,500
  6. Step 6: Final answer
    x = 175,219.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.