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Finding the Third Proportional to 80,953.17 and 107,077.57

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Solution

The third proportional to 80,953.17 and 107,077.57 is: 141,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.17 : 107,077.57 = 107,077.57 : x
  2. Step 2: Convert to fraction form
    80,953.17/107,077.57 = 107,077.57/x
  3. Step 3: Cross multiply
    80,953.17x = 107,077.57 × 107,077.57
  4. Step 4: Simplify right side
    80,953.17x = 11,465,606,064.03
  5. Step 5: Solve for x
    x = 11,465,606,064.03/80,953.17
  6. Step 6: Final answer
    x = 141,632.57

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.