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Finding the Third Proportional to 53,256 and 114,815

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Solution

The third proportional to 53,256 and 114,815 is: 247,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,256 : 114,815 = 114,815 : x
  2. Step 2: Convert to fraction form
    53,256/114,815 = 114,815/x
  3. Step 3: Cross multiply
    53,256x = 114,815 × 114,815
  4. Step 4: Simplify right side
    53,256x = 13,182,484,225
  5. Step 5: Solve for x
    x = 13,182,484,225/53,256
  6. Step 6: Final answer
    x = 247,530.50

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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.