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Finding the Third Proportional to 75,136 and 116,282

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Solution

The third proportional to 75,136 and 116,282 is: 179,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136 : 116,282 = 116,282 : x
  2. Step 2: Convert to fraction form
    75,136/116,282 = 116,282/x
  3. Step 3: Cross multiply
    75,136x = 116,282 × 116,282
  4. Step 4: Simplify right side
    75,136x = 13,521,503,524
  5. Step 5: Solve for x
    x = 13,521,503,524/75,136
  6. Step 6: Final answer
    x = 179,960.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.