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Finding the Third Proportional to 77,344.88 and 104,353.31

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Solution

The third proportional to 77,344.88 and 104,353.31 is: 140,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344.88 : 104,353.31 = 104,353.31 : x
  2. Step 2: Convert to fraction form
    77,344.88/104,353.31 = 104,353.31/x
  3. Step 3: Cross multiply
    77,344.88x = 104,353.31 × 104,353.31
  4. Step 4: Simplify right side
    77,344.88x = 10,889,613,829.72
  5. Step 5: Solve for x
    x = 10,889,613,829.72/77,344.88
  6. Step 6: Final answer
    x = 140,792.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.