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Finding the Third Proportional to 74,819 and 114,996

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Solution

The third proportional to 74,819 and 114,996 is: 176,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,819 : 114,996 = 114,996 : x
  2. Step 2: Convert to fraction form
    74,819/114,996 = 114,996/x
  3. Step 3: Cross multiply
    74,819x = 114,996 × 114,996
  4. Step 4: Simplify right side
    74,819x = 13,224,080,016
  5. Step 5: Solve for x
    x = 13,224,080,016/74,819
  6. Step 6: Final answer
    x = 176,747.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.