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Finding the Third Proportional to 71,965.97 and 156,848.91

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Solution

The third proportional to 71,965.97 and 156,848.91 is: 341,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,965.97 : 156,848.91 = 156,848.91 : x
  2. Step 2: Convert to fraction form
    71,965.97/156,848.91 = 156,848.91/x
  3. Step 3: Cross multiply
    71,965.97x = 156,848.91 × 156,848.91
  4. Step 4: Simplify right side
    71,965.97x = 24,601,579,391.82
  5. Step 5: Solve for x
    x = 24,601,579,391.82/71,965.97
  6. Step 6: Final answer
    x = 341,850.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.