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Finding the Third Proportional to 53,631 and 114,651

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Solution

The third proportional to 53,631 and 114,651 is: 245,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,631 : 114,651 = 114,651 : x
  2. Step 2: Convert to fraction form
    53,631/114,651 = 114,651/x
  3. Step 3: Cross multiply
    53,631x = 114,651 × 114,651
  4. Step 4: Simplify right side
    53,631x = 13,144,851,801
  5. Step 5: Solve for x
    x = 13,144,851,801/53,631
  6. Step 6: Final answer
    x = 245,098.02

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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.