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Finding the Third Proportional to 74,125 and 114,950

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Solution

The third proportional to 74,125 and 114,950 is: 178,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,125 : 114,950 = 114,950 : x
  2. Step 2: Convert to fraction form
    74,125/114,950 = 114,950/x
  3. Step 3: Cross multiply
    74,125x = 114,950 × 114,950
  4. Step 4: Simplify right side
    74,125x = 13,213,502,500
  5. Step 5: Solve for x
    x = 13,213,502,500/74,125
  6. Step 6: Final answer
    x = 178,259.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.