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Finding the Third Proportional to 67,710 and 146,719

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Solution

The third proportional to 67,710 and 146,719 is: 317,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,710 : 146,719 = 146,719 : x
  2. Step 2: Convert to fraction form
    67,710/146,719 = 146,719/x
  3. Step 3: Cross multiply
    67,710x = 146,719 × 146,719
  4. Step 4: Simplify right side
    67,710x = 21,526,464,961
  5. Step 5: Solve for x
    x = 21,526,464,961/67,710
  6. Step 6: Final answer
    x = 317,921.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.