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Finding the Third Proportional to 68,840 and 151,648

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Solution

The third proportional to 68,840 and 151,648 is: 334,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,840 : 151,648 = 151,648 : x
  2. Step 2: Convert to fraction form
    68,840/151,648 = 151,648/x
  3. Step 3: Cross multiply
    68,840x = 151,648 × 151,648
  4. Step 4: Simplify right side
    68,840x = 22,997,115,904
  5. Step 5: Solve for x
    x = 22,997,115,904/68,840
  6. Step 6: Final answer
    x = 334,066.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.