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Finding the Third Proportional to 52,854 and 115,536

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Solution

The third proportional to 52,854 and 115,536 is: 252,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854 : 115,536 = 115,536 : x
  2. Step 2: Convert to fraction form
    52,854/115,536 = 115,536/x
  3. Step 3: Cross multiply
    52,854x = 115,536 × 115,536
  4. Step 4: Simplify right side
    52,854x = 13,348,567,296
  5. Step 5: Solve for x
    x = 13,348,567,296/52,854
  6. Step 6: Final answer
    x = 252,555.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.