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Finding the Third Proportional to 52,771.50 and 112,020

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Solution

The third proportional to 52,771.50 and 112,020 is: 237,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.50 : 112,020 = 112,020 : x
  2. Step 2: Convert to fraction form
    52,771.50/112,020 = 112,020/x
  3. Step 3: Cross multiply
    52,771.50x = 112,020 × 112,020
  4. Step 4: Simplify right side
    52,771.50x = 12,548,480,400
  5. Step 5: Solve for x
    x = 12,548,480,400/52,771.50
  6. Step 6: Final answer
    x = 237,788.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.