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Finding the Third Proportional to 34,081.31 and 72,536.63

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Solution

The third proportional to 34,081.31 and 72,536.63 is: 154,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,081.31 : 72,536.63 = 72,536.63 : x
  2. Step 2: Convert to fraction form
    34,081.31/72,536.63 = 72,536.63/x
  3. Step 3: Cross multiply
    34,081.31x = 72,536.63 × 72,536.63
  4. Step 4: Simplify right side
    34,081.31x = 5,261,561,966.39
  5. Step 5: Solve for x
    x = 5,261,561,966.39/34,081.31
  6. Step 6: Final answer
    x = 154,382.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.