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Finding the Third Proportional to 74,900 and 116,958

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Solution

The third proportional to 74,900 and 116,958 is: 182,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,900 : 116,958 = 116,958 : x
  2. Step 2: Convert to fraction form
    74,900/116,958 = 116,958/x
  3. Step 3: Cross multiply
    74,900x = 116,958 × 116,958
  4. Step 4: Simplify right side
    74,900x = 13,679,173,764
  5. Step 5: Solve for x
    x = 13,679,173,764/74,900
  6. Step 6: Final answer
    x = 182,632.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.