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Finding the Third Proportional to 52,810 and 109,364

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Solution

The third proportional to 52,810 and 109,364 is: 226,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,810 : 109,364 = 109,364 : x
  2. Step 2: Convert to fraction form
    52,810/109,364 = 109,364/x
  3. Step 3: Cross multiply
    52,810x = 109,364 × 109,364
  4. Step 4: Simplify right side
    52,810x = 11,960,484,496
  5. Step 5: Solve for x
    x = 11,960,484,496/52,810
  6. Step 6: Final answer
    x = 226,481.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.