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Finding the Third Proportional to 53,816 and 114,224

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Solution

The third proportional to 53,816 and 114,224 is: 242,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816 : 114,224 = 114,224 : x
  2. Step 2: Convert to fraction form
    53,816/114,224 = 114,224/x
  3. Step 3: Cross multiply
    53,816x = 114,224 × 114,224
  4. Step 4: Simplify right side
    53,816x = 13,047,122,176
  5. Step 5: Solve for x
    x = 13,047,122,176/53,816
  6. Step 6: Final answer
    x = 242,439.46

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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.