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Finding the Third Proportional to 53,865 and 110,403

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Solution

The third proportional to 53,865 and 110,403 is: 226,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,865 : 110,403 = 110,403 : x
  2. Step 2: Convert to fraction form
    53,865/110,403 = 110,403/x
  3. Step 3: Cross multiply
    53,865x = 110,403 × 110,403
  4. Step 4: Simplify right side
    53,865x = 12,188,822,409
  5. Step 5: Solve for x
    x = 12,188,822,409/53,865
  6. Step 6: Final answer
    x = 226,284.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.