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Finding the Third Proportional to 32,120 and 51,156

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Solution

The third proportional to 32,120 and 51,156 is: 81,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120 : 51,156 = 51,156 : x
  2. Step 2: Convert to fraction form
    32,120/51,156 = 51,156/x
  3. Step 3: Cross multiply
    32,120x = 51,156 × 51,156
  4. Step 4: Simplify right side
    32,120x = 2,616,936,336
  5. Step 5: Solve for x
    x = 2,616,936,336/32,120
  6. Step 6: Final answer
    x = 81,473.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.