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Finding the Third Proportional to 82,512 and 120,240

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Solution

The third proportional to 82,512 and 120,240 is: 175,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512 : 120,240 = 120,240 : x
  2. Step 2: Convert to fraction form
    82,512/120,240 = 120,240/x
  3. Step 3: Cross multiply
    82,512x = 120,240 × 120,240
  4. Step 4: Simplify right side
    82,512x = 14,457,657,600
  5. Step 5: Solve for x
    x = 14,457,657,600/82,512
  6. Step 6: Final answer
    x = 175,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.