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Finding the Third Proportional to 65,523 and 140,394

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Solution

The third proportional to 65,523 and 140,394 is: 300,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,523 : 140,394 = 140,394 : x
  2. Step 2: Convert to fraction form
    65,523/140,394 = 140,394/x
  3. Step 3: Cross multiply
    65,523x = 140,394 × 140,394
  4. Step 4: Simplify right side
    65,523x = 19,710,475,236
  5. Step 5: Solve for x
    x = 19,710,475,236/65,523
  6. Step 6: Final answer
    x = 300,817.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.