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Finding the Third Proportional to 39,752 and 84,240

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Solution

The third proportional to 39,752 and 84,240 is: 178,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,752 : 84,240 = 84,240 : x
  2. Step 2: Convert to fraction form
    39,752/84,240 = 84,240/x
  3. Step 3: Cross multiply
    39,752x = 84,240 × 84,240
  4. Step 4: Simplify right side
    39,752x = 7,096,377,600
  5. Step 5: Solve for x
    x = 7,096,377,600/39,752
  6. Step 6: Final answer
    x = 178,516.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.