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Finding the Third Proportional to 65,807.50 and 105,979

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Solution

The third proportional to 65,807.50 and 105,979 is: 170,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.50 : 105,979 = 105,979 : x
  2. Step 2: Convert to fraction form
    65,807.50/105,979 = 105,979/x
  3. Step 3: Cross multiply
    65,807.50x = 105,979 × 105,979
  4. Step 4: Simplify right side
    65,807.50x = 11,231,548,441
  5. Step 5: Solve for x
    x = 11,231,548,441/65,807.50
  6. Step 6: Final answer
    x = 170,672.77

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.