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Finding the Third Proportional to 52,854 and 110,080

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Solution

The third proportional to 52,854 and 110,080 is: 229,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854 : 110,080 = 110,080 : x
  2. Step 2: Convert to fraction form
    52,854/110,080 = 110,080/x
  3. Step 3: Cross multiply
    52,854x = 110,080 × 110,080
  4. Step 4: Simplify right side
    52,854x = 12,117,606,400
  5. Step 5: Solve for x
    x = 12,117,606,400/52,854
  6. Step 6: Final answer
    x = 229,265.64

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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.