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Finding the Third Proportional to 83,436.75 and 125,880.75

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Solution

The third proportional to 83,436.75 and 125,880.75 is: 189,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436.75 : 125,880.75 = 125,880.75 : x
  2. Step 2: Convert to fraction form
    83,436.75/125,880.75 = 125,880.75/x
  3. Step 3: Cross multiply
    83,436.75x = 125,880.75 × 125,880.75
  4. Step 4: Simplify right side
    83,436.75x = 15,845,963,220.56
  5. Step 5: Solve for x
    x = 15,845,963,220.56/83,436.75
  6. Step 6: Final answer
    x = 189,915.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.