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Finding the Third Proportional to 53,514 and 114,435

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Solution

The third proportional to 53,514 and 114,435 is: 244,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,514 : 114,435 = 114,435 : x
  2. Step 2: Convert to fraction form
    53,514/114,435 = 114,435/x
  3. Step 3: Cross multiply
    53,514x = 114,435 × 114,435
  4. Step 4: Simplify right side
    53,514x = 13,095,369,225
  5. Step 5: Solve for x
    x = 13,095,369,225/53,514
  6. Step 6: Final answer
    x = 244,709.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.