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Finding the Third Proportional to 82,317 and 125,252

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Solution

The third proportional to 82,317 and 125,252 is: 190,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,317 : 125,252 = 125,252 : x
  2. Step 2: Convert to fraction form
    82,317/125,252 = 125,252/x
  3. Step 3: Cross multiply
    82,317x = 125,252 × 125,252
  4. Step 4: Simplify right side
    82,317x = 15,688,063,504
  5. Step 5: Solve for x
    x = 15,688,063,504/82,317
  6. Step 6: Final answer
    x = 190,581.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.