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Finding the Third Proportional to 76,433.63 and 162,151.88

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Solution

The third proportional to 76,433.63 and 162,151.88 is: 344,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,433.63 : 162,151.88 = 162,151.88 : x
  2. Step 2: Convert to fraction form
    76,433.63/162,151.88 = 162,151.88/x
  3. Step 3: Cross multiply
    76,433.63x = 162,151.88 × 162,151.88
  4. Step 4: Simplify right side
    76,433.63x = 26,293,230,566.02
  5. Step 5: Solve for x
    x = 26,293,230,566.02/76,433.63
  6. Step 6: Final answer
    x = 344,000.83

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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.