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Finding the Third Proportional to 76,180.50 and 161,575.50

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Solution

The third proportional to 76,180.50 and 161,575.50 is: 342,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180.50 : 161,575.50 = 161,575.50 : x
  2. Step 2: Convert to fraction form
    76,180.50/161,575.50 = 161,575.50/x
  3. Step 3: Cross multiply
    76,180.50x = 161,575.50 × 161,575.50
  4. Step 4: Simplify right side
    76,180.50x = 26,106,642,200.25
  5. Step 5: Solve for x
    x = 26,106,642,200.25/76,180.50
  6. Step 6: Final answer
    x = 342,694.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.