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Finding the Third Proportional to 75,334.41 and 102,313.78

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Solution

The third proportional to 75,334.41 and 102,313.78 is: 138,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,334.41 : 102,313.78 = 102,313.78 : x
  2. Step 2: Convert to fraction form
    75,334.41/102,313.78 = 102,313.78/x
  3. Step 3: Cross multiply
    75,334.41x = 102,313.78 × 102,313.78
  4. Step 4: Simplify right side
    75,334.41x = 10,468,109,833.67
  5. Step 5: Solve for x
    x = 10,468,109,833.67/75,334.41
  6. Step 6: Final answer
    x = 138,955.23

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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.