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Finding the Third Proportional to 75,098 and 140,737

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Solution

The third proportional to 75,098 and 140,737 is: 263,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098 : 140,737 = 140,737 : x
  2. Step 2: Convert to fraction form
    75,098/140,737 = 140,737/x
  3. Step 3: Cross multiply
    75,098x = 140,737 × 140,737
  4. Step 4: Simplify right side
    75,098x = 19,806,903,169
  5. Step 5: Solve for x
    x = 19,806,903,169/75,098
  6. Step 6: Final answer
    x = 263,747.41

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.