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Finding the Third Proportional to 65,716 and 92,986.75

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Solution

The third proportional to 65,716 and 92,986.75 is: 131,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716 : 92,986.75 = 92,986.75 : x
  2. Step 2: Convert to fraction form
    65,716/92,986.75 = 92,986.75/x
  3. Step 3: Cross multiply
    65,716x = 92,986.75 × 92,986.75
  4. Step 4: Simplify right side
    65,716x = 8,646,535,675.56
  5. Step 5: Solve for x
    x = 8,646,535,675.56/65,716
  6. Step 6: Final answer
    x = 131,574.28

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Why These Related Problems?

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