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Finding the Third Proportional to 53,454 and 115,652

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Solution

The third proportional to 53,454 and 115,652 is: 250,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454 : 115,652 = 115,652 : x
  2. Step 2: Convert to fraction form
    53,454/115,652 = 115,652/x
  3. Step 3: Cross multiply
    53,454x = 115,652 × 115,652
  4. Step 4: Simplify right side
    53,454x = 13,375,385,104
  5. Step 5: Solve for x
    x = 13,375,385,104/53,454
  6. Step 6: Final answer
    x = 250,222.34

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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.