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Finding the Third Proportional to 75,029.73 and 114,450.15

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Solution

The third proportional to 75,029.73 and 114,450.15 is: 174,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,029.73 : 114,450.15 = 114,450.15 : x
  2. Step 2: Convert to fraction form
    75,029.73/114,450.15 = 114,450.15/x
  3. Step 3: Cross multiply
    75,029.73x = 114,450.15 × 114,450.15
  4. Step 4: Simplify right side
    75,029.73x = 13,098,837,371.51
  5. Step 5: Solve for x
    x = 13,098,837,371.51/75,029.73
  6. Step 6: Final answer
    x = 174,581.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.