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Finding the Third Proportional to 80,953.17 and 105,841.69

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Solution

The third proportional to 80,953.17 and 105,841.69 is: 138,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.17 : 105,841.69 = 105,841.69 : x
  2. Step 2: Convert to fraction form
    80,953.17/105,841.69 = 105,841.69/x
  3. Step 3: Cross multiply
    80,953.17x = 105,841.69 × 105,841.69
  4. Step 4: Simplify right side
    80,953.17x = 11,202,462,812.85
  5. Step 5: Solve for x
    x = 11,202,462,812.85/80,953.17
  6. Step 6: Final answer
    x = 138,382.01

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.