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Finding the Third Proportional to 53,264 and 114,832

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Solution

The third proportional to 53,264 and 114,832 is: 247,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,264 : 114,832 = 114,832 : x
  2. Step 2: Convert to fraction form
    53,264/114,832 = 114,832/x
  3. Step 3: Cross multiply
    53,264x = 114,832 × 114,832
  4. Step 4: Simplify right side
    53,264x = 13,186,388,224
  5. Step 5: Solve for x
    x = 13,186,388,224/53,264
  6. Step 6: Final answer
    x = 247,566.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.