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Finding the Third Proportional to 82,394 and 125,171

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Solution

The third proportional to 82,394 and 125,171 is: 190,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394 : 125,171 = 125,171 : x
  2. Step 2: Convert to fraction form
    82,394/125,171 = 125,171/x
  3. Step 3: Cross multiply
    82,394x = 125,171 × 125,171
  4. Step 4: Simplify right side
    82,394x = 15,667,779,241
  5. Step 5: Solve for x
    x = 15,667,779,241/82,394
  6. Step 6: Final answer
    x = 190,156.80

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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.