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Finding the Third Proportional to 76,468.50 and 179,912.25

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Solution

The third proportional to 76,468.50 and 179,912.25 is: 423,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468.50 : 179,912.25 = 179,912.25 : x
  2. Step 2: Convert to fraction form
    76,468.50/179,912.25 = 179,912.25/x
  3. Step 3: Cross multiply
    76,468.50x = 179,912.25 × 179,912.25
  4. Step 4: Simplify right side
    76,468.50x = 32,368,417,700.06
  5. Step 5: Solve for x
    x = 32,368,417,700.06/76,468.50
  6. Step 6: Final answer
    x = 423,290.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.