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Finding the Third Proportional to 65,596 and 103,704

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Solution

The third proportional to 65,596 and 103,704 is: 163,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596 : 103,704 = 103,704 : x
  2. Step 2: Convert to fraction form
    65,596/103,704 = 103,704/x
  3. Step 3: Cross multiply
    65,596x = 103,704 × 103,704
  4. Step 4: Simplify right side
    65,596x = 10,754,519,616
  5. Step 5: Solve for x
    x = 10,754,519,616/65,596
  6. Step 6: Final answer
    x = 163,950.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.