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Finding the Third Proportional to 65,703 and 83,200

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Solution

The third proportional to 65,703 and 83,200 is: 105,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703 : 83,200 = 83,200 : x
  2. Step 2: Convert to fraction form
    65,703/83,200 = 83,200/x
  3. Step 3: Cross multiply
    65,703x = 83,200 × 83,200
  4. Step 4: Simplify right side
    65,703x = 6,922,240,000
  5. Step 5: Solve for x
    x = 6,922,240,000/65,703
  6. Step 6: Final answer
    x = 105,356.53

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.