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Finding the Third Proportional to 82,530 and 173,160

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Solution

The third proportional to 82,530 and 173,160 is: 363,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,530 : 173,160 = 173,160 : x
  2. Step 2: Convert to fraction form
    82,530/173,160 = 173,160/x
  3. Step 3: Cross multiply
    82,530x = 173,160 × 173,160
  4. Step 4: Simplify right side
    82,530x = 29,984,385,600
  5. Step 5: Solve for x
    x = 29,984,385,600/82,530
  6. Step 6: Final answer
    x = 363,314.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.