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Finding the Third Proportional to 52,855 and 110,082

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Solution

The third proportional to 52,855 and 110,082 is: 229,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855 : 110,082 = 110,082 : x
  2. Step 2: Convert to fraction form
    52,855/110,082 = 110,082/x
  3. Step 3: Cross multiply
    52,855x = 110,082 × 110,082
  4. Step 4: Simplify right side
    52,855x = 12,118,046,724
  5. Step 5: Solve for x
    x = 12,118,046,724/52,855
  6. Step 6: Final answer
    x = 229,269.64

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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.