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Finding the Third Proportional to 53,239 and 116,847

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Solution

The third proportional to 53,239 and 116,847 is: 256,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,239 : 116,847 = 116,847 : x
  2. Step 2: Convert to fraction form
    53,239/116,847 = 116,847/x
  3. Step 3: Cross multiply
    53,239x = 116,847 × 116,847
  4. Step 4: Simplify right side
    53,239x = 13,653,221,409
  5. Step 5: Solve for x
    x = 13,653,221,409/53,239
  6. Step 6: Final answer
    x = 256,451.50

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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.