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Finding the Third Proportional to 65,713.50 and 92,983

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Solution

The third proportional to 65,713.50 and 92,983 is: 131,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.50 : 92,983 = 92,983 : x
  2. Step 2: Convert to fraction form
    65,713.50/92,983 = 92,983/x
  3. Step 3: Cross multiply
    65,713.50x = 92,983 × 92,983
  4. Step 4: Simplify right side
    65,713.50x = 8,645,838,289
  5. Step 5: Solve for x
    x = 8,645,838,289/65,713.50
  6. Step 6: Final answer
    x = 131,568.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.