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Finding the Third Proportional to 125,880.75 and 192,108

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Solution

The third proportional to 125,880.75 and 192,108 is: 293,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,880.75 : 192,108 = 192,108 : x
  2. Step 2: Convert to fraction form
    125,880.75/192,108 = 192,108/x
  3. Step 3: Cross multiply
    125,880.75x = 192,108 × 192,108
  4. Step 4: Simplify right side
    125,880.75x = 36,905,483,664
  5. Step 5: Solve for x
    x = 36,905,483,664/125,880.75
  6. Step 6: Final answer
    x = 293,178.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.