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Finding the Third Proportional to 53,498 and 115,276

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Solution

The third proportional to 53,498 and 115,276 is: 248,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,498 : 115,276 = 115,276 : x
  2. Step 2: Convert to fraction form
    53,498/115,276 = 115,276/x
  3. Step 3: Cross multiply
    53,498x = 115,276 × 115,276
  4. Step 4: Simplify right side
    53,498x = 13,288,556,176
  5. Step 5: Solve for x
    x = 13,288,556,176/53,498
  6. Step 6: Final answer
    x = 248,393.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.