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Finding the Third Proportional to 53,814 and 114,220

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Solution

The third proportional to 53,814 and 114,220 is: 242,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,814 : 114,220 = 114,220 : x
  2. Step 2: Convert to fraction form
    53,814/114,220 = 114,220/x
  3. Step 3: Cross multiply
    53,814x = 114,220 × 114,220
  4. Step 4: Simplify right side
    53,814x = 13,046,208,400
  5. Step 5: Solve for x
    x = 13,046,208,400/53,814
  6. Step 6: Final answer
    x = 242,431.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.