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Finding the Third Proportional to 52,219 and 110,391

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Solution

The third proportional to 52,219 and 110,391 is: 233,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,219 : 110,391 = 110,391 : x
  2. Step 2: Convert to fraction form
    52,219/110,391 = 110,391/x
  3. Step 3: Cross multiply
    52,219x = 110,391 × 110,391
  4. Step 4: Simplify right side
    52,219x = 12,186,172,881
  5. Step 5: Solve for x
    x = 12,186,172,881/52,219
  6. Step 6: Final answer
    x = 233,366.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.