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Finding the Third Proportional to 52,857 and 110,904

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Solution

The third proportional to 52,857 and 110,904 is: 232,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,857 : 110,904 = 110,904 : x
  2. Step 2: Convert to fraction form
    52,857/110,904 = 110,904/x
  3. Step 3: Cross multiply
    52,857x = 110,904 × 110,904
  4. Step 4: Simplify right side
    52,857x = 12,299,697,216
  5. Step 5: Solve for x
    x = 12,299,697,216/52,857
  6. Step 6: Final answer
    x = 232,697.60

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Why These Related Problems?

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