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Finding the Third Proportional to 52,942 and 110,239

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Solution

The third proportional to 52,942 and 110,239 is: 229,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,942 : 110,239 = 110,239 : x
  2. Step 2: Convert to fraction form
    52,942/110,239 = 110,239/x
  3. Step 3: Cross multiply
    52,942x = 110,239 × 110,239
  4. Step 4: Simplify right side
    52,942x = 12,152,637,121
  5. Step 5: Solve for x
    x = 12,152,637,121/52,942
  6. Step 6: Final answer
    x = 229,546.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.