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Finding the Third Proportional to 76,435.88 and 162,121.50

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Solution

The third proportional to 76,435.88 and 162,121.50 is: 343,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.88 : 162,121.50 = 162,121.50 : x
  2. Step 2: Convert to fraction form
    76,435.88/162,121.50 = 162,121.50/x
  3. Step 3: Cross multiply
    76,435.88x = 162,121.50 × 162,121.50
  4. Step 4: Simplify right side
    76,435.88x = 26,283,380,762.25
  5. Step 5: Solve for x
    x = 26,283,380,762.25/76,435.88
  6. Step 6: Final answer
    x = 343,861.84

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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.