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Finding the Third Proportional to 34,156.69 and 72,026.72

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Solution

The third proportional to 34,156.69 and 72,026.72 is: 151,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.69 : 72,026.72 = 72,026.72 : x
  2. Step 2: Convert to fraction form
    34,156.69/72,026.72 = 72,026.72/x
  3. Step 3: Cross multiply
    34,156.69x = 72,026.72 × 72,026.72
  4. Step 4: Simplify right side
    34,156.69x = 5,187,848,213.89
  5. Step 5: Solve for x
    x = 5,187,848,213.89/34,156.69
  6. Step 6: Final answer
    x = 151,883.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.