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Finding the Third Proportional to 31,905.14 and 68,002.03

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Solution

The third proportional to 31,905.14 and 68,002.03 is: 144,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.14 : 68,002.03 = 68,002.03 : x
  2. Step 2: Convert to fraction form
    31,905.14/68,002.03 = 68,002.03/x
  3. Step 3: Cross multiply
    31,905.14x = 68,002.03 × 68,002.03
  4. Step 4: Simplify right side
    31,905.14x = 4,624,276,254.13
  5. Step 5: Solve for x
    x = 4,624,276,254.13/31,905.14
  6. Step 6: Final answer
    x = 144,938.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.