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Finding the Third Proportional to 52,872 and 110,932.50

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Solution

The third proportional to 52,872 and 110,932.50 is: 232,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872 : 110,932.50 = 110,932.50 : x
  2. Step 2: Convert to fraction form
    52,872/110,932.50 = 110,932.50/x
  3. Step 3: Cross multiply
    52,872x = 110,932.50 × 110,932.50
  4. Step 4: Simplify right side
    52,872x = 12,306,019,556.25
  5. Step 5: Solve for x
    x = 12,306,019,556.25/52,872
  6. Step 6: Final answer
    x = 232,751.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.