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Finding the Third Proportional to 76,516.13 and 107,560.69

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Solution

The third proportional to 76,516.13 and 107,560.69 is: 151,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516.13 : 107,560.69 = 107,560.69 : x
  2. Step 2: Convert to fraction form
    76,516.13/107,560.69 = 107,560.69/x
  3. Step 3: Cross multiply
    76,516.13x = 107,560.69 × 107,560.69
  4. Step 4: Simplify right side
    76,516.13x = 11,569,301,495.47
  5. Step 5: Solve for x
    x = 11,569,301,495.47/76,516.13
  6. Step 6: Final answer
    x = 151,200.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.