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Finding the Third Proportional to 67,896 and 147,840

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Solution

The third proportional to 67,896 and 147,840 is: 321,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,896 : 147,840 = 147,840 : x
  2. Step 2: Convert to fraction form
    67,896/147,840 = 147,840/x
  3. Step 3: Cross multiply
    67,896x = 147,840 × 147,840
  4. Step 4: Simplify right side
    67,896x = 21,856,665,600
  5. Step 5: Solve for x
    x = 21,856,665,600/67,896
  6. Step 6: Final answer
    x = 321,913.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.