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Finding the Third Proportional to 53,716 and 115,208

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Solution

The third proportional to 53,716 and 115,208 is: 247,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716 : 115,208 = 115,208 : x
  2. Step 2: Convert to fraction form
    53,716/115,208 = 115,208/x
  3. Step 3: Cross multiply
    53,716x = 115,208 × 115,208
  4. Step 4: Simplify right side
    53,716x = 13,272,883,264
  5. Step 5: Solve for x
    x = 13,272,883,264/53,716
  6. Step 6: Final answer
    x = 247,093.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.