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Finding the Third Proportional to 53,808 and 114,208

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Solution

The third proportional to 53,808 and 114,208 is: 242,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,808 : 114,208 = 114,208 : x
  2. Step 2: Convert to fraction form
    53,808/114,208 = 114,208/x
  3. Step 3: Cross multiply
    53,808x = 114,208 × 114,208
  4. Step 4: Simplify right side
    53,808x = 13,043,467,264
  5. Step 5: Solve for x
    x = 13,043,467,264/53,808
  6. Step 6: Final answer
    x = 242,407.58

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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.