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Finding the Third Proportional to 75,028.57 and 114,447.94

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Solution

The third proportional to 75,028.57 and 114,447.94 is: 174,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,028.57 : 114,447.94 = 114,447.94 : x
  2. Step 2: Convert to fraction form
    75,028.57/114,447.94 = 114,447.94/x
  3. Step 3: Cross multiply
    75,028.57x = 114,447.94 × 114,447.94
  4. Step 4: Simplify right side
    75,028.57x = 13,098,330,398.00
  5. Step 5: Solve for x
    x = 13,098,330,398.00/75,028.57
  6. Step 6: Final answer
    x = 174,577.90

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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.