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Finding the Third Proportional to 53,239 and 116,442

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Solution

The third proportional to 53,239 and 116,442 is: 254,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,239 : 116,442 = 116,442 : x
  2. Step 2: Convert to fraction form
    53,239/116,442 = 116,442/x
  3. Step 3: Cross multiply
    53,239x = 116,442 × 116,442
  4. Step 4: Simplify right side
    53,239x = 13,558,739,364
  5. Step 5: Solve for x
    x = 13,558,739,364/53,239
  6. Step 6: Final answer
    x = 254,676.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.