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Finding the Third Proportional to 52,184 and 101,704

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Solution

The third proportional to 52,184 and 101,704 is: 198,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,184 : 101,704 = 101,704 : x
  2. Step 2: Convert to fraction form
    52,184/101,704 = 101,704/x
  3. Step 3: Cross multiply
    52,184x = 101,704 × 101,704
  4. Step 4: Simplify right side
    52,184x = 10,343,703,616
  5. Step 5: Solve for x
    x = 10,343,703,616/52,184
  6. Step 6: Final answer
    x = 198,216.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.