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Finding the Third Proportional to 83,396.50 and 125,816.50

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Solution

The third proportional to 83,396.50 and 125,816.50 is: 189,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,396.50 : 125,816.50 = 125,816.50 : x
  2. Step 2: Convert to fraction form
    83,396.50/125,816.50 = 125,816.50/x
  3. Step 3: Cross multiply
    83,396.50x = 125,816.50 × 125,816.50
  4. Step 4: Simplify right side
    83,396.50x = 15,829,791,672.25
  5. Step 5: Solve for x
    x = 15,829,791,672.25/83,396.50
  6. Step 6: Final answer
    x = 189,813.62

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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.