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Finding the Third Proportional to 53,514 and 115,308

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Solution

The third proportional to 53,514 and 115,308 is: 248,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,514 : 115,308 = 115,308 : x
  2. Step 2: Convert to fraction form
    53,514/115,308 = 115,308/x
  3. Step 3: Cross multiply
    53,514x = 115,308 × 115,308
  4. Step 4: Simplify right side
    53,514x = 13,295,934,864
  5. Step 5: Solve for x
    x = 13,295,934,864/53,514
  6. Step 6: Final answer
    x = 248,457.13

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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.