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Finding the Third Proportional to 52,991 and 110,292

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Solution

The third proportional to 52,991 and 110,292 is: 229,554.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,991 : 110,292 = 110,292 : x
  2. Step 2: Convert to fraction form
    52,991/110,292 = 110,292/x
  3. Step 3: Cross multiply
    52,991x = 110,292 × 110,292
  4. Step 4: Simplify right side
    52,991x = 12,164,325,264
  5. Step 5: Solve for x
    x = 12,164,325,264/52,991
  6. Step 6: Final answer
    x = 229,554.55

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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.