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Finding the Third Proportional to 81,364.50 and 125,732.25

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Solution

The third proportional to 81,364.50 and 125,732.25 is: 194,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364.50 : 125,732.25 = 125,732.25 : x
  2. Step 2: Convert to fraction form
    81,364.50/125,732.25 = 125,732.25/x
  3. Step 3: Cross multiply
    81,364.50x = 125,732.25 × 125,732.25
  4. Step 4: Simplify right side
    81,364.50x = 15,808,598,690.06
  5. Step 5: Solve for x
    x = 15,808,598,690.06/81,364.50
  6. Step 6: Final answer
    x = 194,293.56

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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.