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Finding the Third Proportional to 76,615.88 and 162,446.63

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Solution

The third proportional to 76,615.88 and 162,446.63 is: 344,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,615.88 : 162,446.63 = 162,446.63 : x
  2. Step 2: Convert to fraction form
    76,615.88/162,446.63 = 162,446.63/x
  3. Step 3: Cross multiply
    76,615.88x = 162,446.63 × 162,446.63
  4. Step 4: Simplify right side
    76,615.88x = 26,388,905,973.89
  5. Step 5: Solve for x
    x = 26,388,905,973.89/76,615.88
  6. Step 6: Final answer
    x = 344,431.31

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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.