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Finding the Third Proportional to 52,656 and 112,816

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Solution

The third proportional to 52,656 and 112,816 is: 241,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,656 : 112,816 = 112,816 : x
  2. Step 2: Convert to fraction form
    52,656/112,816 = 112,816/x
  3. Step 3: Cross multiply
    52,656x = 112,816 × 112,816
  4. Step 4: Simplify right side
    52,656x = 12,727,449,856
  5. Step 5: Solve for x
    x = 12,727,449,856/52,656
  6. Step 6: Final answer
    x = 241,709.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.