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Finding the Third Proportional to 80,925.75 and 173,515.50

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Solution

The third proportional to 80,925.75 and 173,515.50 is: 372,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,925.75 : 173,515.50 = 173,515.50 : x
  2. Step 2: Convert to fraction form
    80,925.75/173,515.50 = 173,515.50/x
  3. Step 3: Cross multiply
    80,925.75x = 173,515.50 × 173,515.50
  4. Step 4: Simplify right side
    80,925.75x = 30,107,628,740.25
  5. Step 5: Solve for x
    x = 30,107,628,740.25/80,925.75
  6. Step 6: Final answer
    x = 372,040.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.