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Finding the Third Proportional to 75,343.50 and 102,326.63

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Solution

The third proportional to 75,343.50 and 102,326.63 is: 138,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,343.50 : 102,326.63 = 102,326.63 : x
  2. Step 2: Convert to fraction form
    75,343.50/102,326.63 = 102,326.63/x
  3. Step 3: Cross multiply
    75,343.50x = 102,326.63 × 102,326.63
  4. Step 4: Simplify right side
    75,343.50x = 10,470,738,183.89
  5. Step 5: Solve for x
    x = 10,470,738,183.89/75,343.50
  6. Step 6: Final answer
    x = 138,973.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.