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Finding the Third Proportional to 65,732 and 102,979

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Solution

The third proportional to 65,732 and 102,979 is: 161,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732 : 102,979 = 102,979 : x
  2. Step 2: Convert to fraction form
    65,732/102,979 = 102,979/x
  3. Step 3: Cross multiply
    65,732x = 102,979 × 102,979
  4. Step 4: Simplify right side
    65,732x = 10,604,674,441
  5. Step 5: Solve for x
    x = 10,604,674,441/65,732
  6. Step 6: Final answer
    x = 161,331.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.