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Finding the Third Proportional to 74,369 and 111,719

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Solution

The third proportional to 74,369 and 111,719 is: 167,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,369 : 111,719 = 111,719 : x
  2. Step 2: Convert to fraction form
    74,369/111,719 = 111,719/x
  3. Step 3: Cross multiply
    74,369x = 111,719 × 111,719
  4. Step 4: Simplify right side
    74,369x = 12,481,134,961
  5. Step 5: Solve for x
    x = 12,481,134,961/74,369
  6. Step 6: Final answer
    x = 167,827.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.